{"text":"Question: b\"What is the ith term of -2770, -5540, -8306, -11068, -13826, -16580, -19330?\n\"Answer: 2*i**2 - 2776*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*p + 99. Let k be (0 + -6)*1375\/p. Is 2\/6 + k\/(-6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*x = -2*s - 40, 94*s = -2*x + 99*s - 81 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.102 - 0.008. Let s be 39\/9 + 2\/(-6). What is the biggest value in -0.2, a, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 42 - 40. Suppose -3*h = h - 3*x - 48, -s*x = 0. Suppose -6*j - h = 5*p - 3*j, -2*j = 2*p + 8. Solve p = -5*b - 7 - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8376899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2 - -6667) + -72 + 86.\nAnswer: 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**3*t)\/(t**2*t))\/(t\/t**0)**(-3\/10) assuming t is positive.\nAnswer: t**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**4\/4 - 63*i**3\/4 + 657*i**2\/4 - 1113*i\/4 + 261\/2 = 0. Calculate i.\nAnswer: -29, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2)\/k**(1\/7)*(k**(5\/4)*k)\/(k*k\/((k**(-3\/2)\/k)\/k)) assuming k is positive.\nAnswer: k**(-151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2408934188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = n + 2*n. Let z be (9\/6)\/((-1)\/(-2)). Solve 0 = l + z*x - 4*x + 7, 0 = 5*l + 2*x + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1684, -13560, -45814, -108634, -212208?\n\"Answer: -1698*l**3 - l**2 + 13*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from {u: 9, o: 6, a: 4}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1076 - 1216*s - 2*s**2 - 753*s + 2138 - s**2 - 1064 to the form m*s + v*s**2 + r and give m.\nAnswer: -1969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5875?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04 + 4.96. Let s = -3.174 - -2.174. What is the biggest value in 36, 3, s, t?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 13 - ((-48)\/6 + -483). Suppose 4*m - 7 = 3*m. Calculate the greatest common divisor of q and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 3:16 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -981*f**3*z**4 - 5*f**3 + 3*f**2 + 43*f*z**3 - 136*f*z**2 + 6*f*z - 2*z**4 wrt z?\nAnswer: -23544*f**3*z + 258*f - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-41 - (38 - 37)) + 71.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -31  (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, -28, -87, -178, -307, -480, -703?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2077523)\/(-122577) - (-1)\/(78\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 6*-902\nAnswer: -5412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 4)*((0 + 0 + 1)*(1 - 1 + g) - 10*g + 26*g + 20*g).\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in 9.3, 16, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75, -145, -273, -465, -727, -1065?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 5)*(-s**2 + 0*s**2 + 3*s**2)*(-37 + 59 + 39).\nAnswer: 122*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -476 divided by 2\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-19980)\/1250 - -19) + -14 + 11\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*c**3 + 223076*c**2 + 518456496*c + 431892180.\nAnswer: 4*(c + 4647)**2*(6*c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6178687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b - 23. Suppose 6*f - 52 = 2*f. Is w(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away -8233866.612?\nAnswer: 8233866.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 6  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 1:13 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 5.1. Let q be (927\/(-18))\/((-1)\/(-2)). Let w = q + 304\/3. Which is the closest to 0.4?  (a) w  (b) l  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6 is divided by (-2)\/(4\/(-2)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*3*2\/(-3). Let m(r) = -9*r - 2. Let g be m(-2). Suppose 2*k - 12 = -3*y, 4*k - g = -2*y - 0*y. Solve 10 = -y*b, 3*c - j*c + 5*b = -26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + s + 23. Let w(k) = 6*k**2 + k + 370. Give -t(y) + w(y).\nAnswer: 7*y**2 + 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/4*(-28)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4739662 kilometers in millimeters?\nAnswer: 473966.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*d + 367332 = -15*d + 62*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 <= 274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1297*i + 544 + 3347 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2 - u - 2. Suppose -y + 1 + 2 = 0. Suppose -4*v = -y*r - 3*v - 30, -3*r - 30 = 4*v. Let d(l) = -3*l**2 - 2*l - 3. Give r*g(m) + 6*d(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2997?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zpzuz. What is prob of sequence pz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -6, -1185, -2, 6, -4, -14 in ascending order.\nAnswer: -1185, -14, -6, -5, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2794 - 2793.9993274. Round c to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1724921 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 s when four letters picked without replacement from {h: 2, s: 4, u: 1, i: 1, z: 2, j: 4}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 + 5*g**2 - 6*g = 0. Calculate g.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46 - -36. Let g = -27 + 11. Let y = g - z. Is -7 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26426692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1292 + 1288 - (1 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 3)*(-13 + 13 - 11*n**4).\nAnswer: 33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*o*v*z**2 - 172*o*v*z - o*v + 2*v*z**2 + 269*v*z + v wrt o.\nAnswer: -2*v*z**2 - 172*v*z - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 + 54\/((-1350)\/1475)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/2)\/(105\/10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + 9 + -4 + 0. Solve o = -4 - w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 192016261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*f - 32*f + 70. Let g(n) = -23*n**2. Let w(x) = -45*x**2. Determine f*g(l) - 4*w(l).\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z + 3*r - 13, z + 27*r = 23*r + 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48003?\nAnswer: 3, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) - (sqrt(637) - (sqrt(637) + 1 + -3) - sqrt(637)))**2.\nAnswer: -56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2001 + 202000?\nAnswer: 133333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.33, -0.1, 3\/5, 5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163648366?\nAnswer: 2, 7, 11689169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -100 and -1.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1645.19397 seconds?\nAnswer: 0.019041596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-2))\/((-4)\/(-10)). Let w = -5 - g. Let i = -13 + 9. Which is the nearest to 0.1?  (a) w  (b) i  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1030*t + 1045*t - 210 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 24. What is the nearest to -2\/7 in n, -4\/5, 1\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2324*q - 110*q + 1152 - 702*q wrt q?\nAnswer: -3136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -94946, -94935, -94924, -94919, -94926, -94951, -95000?\n\"Answer: -d**3 + 6*d**2 - 94951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 477728444.\nAnswer: 2, 119432111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1397*p + v + 3*v - 22 = -1395*p, 10*v - 50 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21885562.\nAnswer: 2, 17, 643693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pkyrk. Give prob of sequence kkr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*q - 1027 = -210. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 49 = -4*r - 4*s, -3*s = 2*r - 30. Let m(f) = f**2 + 10*f + 6. Let u be m(-8). Let g = r + u. Solve 2*i - g + 0 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 504121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - 64 - 54 + b - 76 + 0.\nAnswer: b - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -o + 0*o**2 + 0 - 1\/3*o**3. Let z(y) = -382*y + 193*y + 190*y. What is z(p(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.55 - 0.15. Let j be 1\/(3\/2 - 1). Let l be (-44)\/(-693) - j\/(-9). What is the second smallest value in l, -1, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 329231663\/1260 + -261295. What is the common denominator of -71\/15 and k?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -13*t + 10*t - 1, 3*t - 3 = 3*d. Solve -h - b = -5 - 2, t*b - 3 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*b*j*y - 41*b*j + 117190*b*y - 842*j*y - 10*j + 181*y wrt j.\nAnswer: 2*b*y - 41*b - 842*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57, 222, 459, 768, 1149, 1602?\nAnswer: 2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in -0.3, -0.877, -2, -17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = y + 2*y. Suppose -5*z = -3*a - 69, 2*a + 3*a - 55 = -3*z. Let b = z + y. What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 3*k - 2. Let j(q) = 13*q - 6. Let y(g) = -4*g + 2. Let o(p) = 2*j(p) + 7*y(p). What is 4*o(i) + 3*u(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lhggghssgh. What is prob of picking 1 l and 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 340 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-33 + 46 - 60)*(-2*c + c - 4*c + (-1 + 3 - 1)*(0*c + 3*c - 5*c)) in the form w + m*c and give m.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*n = -2*q - 25*n + 7, 2*q + 5*n = 9. Solve 1 = -i - v, 4*i + 3*v - q = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 43*z = -45*z - 4, 3*z = -2*q + 6. Put 2, -22, q in ascending order.\nAnswer: -22, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 183.681957 and 9.02.\nAnswer: 192.701957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 113711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-6) - 5\/2) + 30. Which is smaller: m or 28?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52 + 959*q + 798*q + 52 - 1746*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 9:28 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2638*k**3 - 2636*k**3 - k + k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6420, 12813, 19158, 25431, 31608, 37665, 43578, 49323?\n\"Answer: -4*d**3 + 6421*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h - 27. Let q(g) = g + 23. Suppose 7*r = 98 - 119. Let i(j) = r*q(j) - 2*c(j). Calculate i(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*5425\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of 1\/2*x**2 - 7\/20*x**5 + 0 - 1\/6*x**3 + 2*x + 1\/12*x**4. Determine g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 5*a + 6. Suppose a*z = -10 + 46. Suppose -z*r - 14 = -11*h + 9*h, -2*r - 17 = -3*h. Solve 13 = -2*t - h*b, 2*t + 2*b = -7 - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2038*q**4*v**2 - 58*q**2*v**2 - 2*q*v**2 - 4*q - 12106*v**2 wrt q?\nAnswer: 24456*q**2*v**2 - 116*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 4:51 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(121)*-3)\/sqrt(11).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 155 = 5*o, 2*f - f = 5*o - 170. Suppose -3 = 5*p - o. Suppose p = -2*t, -4*t - 12 - 65 = -5*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 29*v**2 + 32*v - 111. Let g be u(28). Let c = -1 + -1. Suppose -4*d - 12 = -0*d. Put c, d, g in ascending order.\nAnswer: d, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -6 - 8 - (9 + -7 - -8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1158 + 2998 = 40*w. Let f = -1 - -13. Calculate the remainder when w is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110011100001001101 (base 2) to base 10\nAnswer: 211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.9069845 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 68856 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/27*33\/110.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8451 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2000100120011 (base 3) in base 14?\nAnswer: -1dbc60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2340.54ml?\nAnswer: 2.34054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 7:14 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 21 = 44. Find the third derivative of -3 + 37 - x**5 + x**2 + 80*x**n wrt x.\nAnswer: 4740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56515 is divided by 249?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 15237?\nAnswer: 152370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -263\/3 - -87. Let i = -8 + 17. Let r = 7 - i. Is r at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5545*j - 5*j**2 - 5545*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-166)\/83*2*33\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 329, 763, 1315, 1997, 2821?\n\"Answer: 2*j**3 + 47*j**2 + 279*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2e - 18e08?\nAnswer: -18dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*z + 6*z + 3*r, -r = -4*z + 14. Suppose 3*m - z*f = 27, -3*m = -7*m + 5*f + 40. Let l(d) = -d - 4. Give l(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 4*t + 2*t)*(-11*t**4 + 78*t**2 - 78*t**2) + 987*t**5 - 977*t**5 + 2*t**3 - 4*t**3.\nAnswer: 32*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*g**2 + 38*g**2 + 173*g**3 - 9*g**2 - 16*g**2 + 1272*g**3 - 380*g wrt g.\nAnswer: 8670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-0.4035\nAnswer: 0.04035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 24470.227 and 3.72316.\nAnswer: 24473.95016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(27) + 4 + (sqrt(3) - sqrt(12)\/sqrt(4)*-1 - sqrt(3)) + -4)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2)\/(o*o\/(o*o\/o**(-2\/11))*o*o))\/((o\/o**(4\/7))\/(o**1*o*o)) assuming o is positive.\nAnswer: o**(-96\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (-17 + 0 + 5 + -2 - -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 23\/2 + 2\/4. Let b be 1 + 0 + p\/(-9). Let z(u) = u**2 - 3*u + 1. Let q be z(3). Are b and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39510 - 39510 + 4*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-394)\/14 + -1)\/((-20)\/350). Suppose -k + 266 = -g. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 2, 181, 3, 2\/11 in ascending order.\nAnswer: 2\/11, 2, 3, 17, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -7*p**6\/6 - 493*p**4\/24 + 81*p**2 + 2*p. Find the second derivative of i(q) wrt q.\nAnswer: -840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -12*f**2 + 192*f + 209. Let b be l(17). Put b, -5, 0, 83, -4 in descending order.\nAnswer: 83, b, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17 - 7. Suppose 4*h - 2*h = i. Let r(n) = n**3 + 8*n**2 + 6*n + 9. Let j be r(-6). What is the highest common divisor of j and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (37 + -33)\/(283\/(-5660))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**28*u)*u\/(u\/(u\/u**(-4\/13)*u)*u)*u**6\/u**(23\/3))**(6\/23) assuming u is positive.\nAnswer: u**(-2212\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t - 11*t**2 + 9 + 0*t - 3*t - t**3. What is the remainder when 37 is divided by c(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 559139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 6*x - 2*c + 4, -4*c = 2*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 400729, 801534, 1202339?\n\"Answer: 400805*t - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -614.335 and 2730.\nAnswer: 2115.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f\/((f\/(f\/(f*(f\/(f**(-16\/5)*f)*f)\/f*f)*f*f*f))\/f)*f**(-14)*f*f*f*f\/f**6*f*f**7 assuming f is positive.\nAnswer: f**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 247296\/60 + (-3)\/5. What is the third derivative of -4121 + 21*d**4 - 6*d**2 + s wrt d?\nAnswer: 504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -24ef + 2?\nAnswer: -24ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00721232874 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -137.96 - -138.26. Let b = 0.08 + 1.92. Sort -4, 2\/7, b, c in ascending order.\nAnswer: -4, 2\/7, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3693122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -393627, -787767, -1181905, -1576041?\nAnswer: -1970175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 87 and 3.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 6 + 14. Factor 3\/7*i - 3\/7*i**v + 9\/7*i**3 - 9\/7*i**2 + 0.\nAnswer: -3*i*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 3*m - m + 684 = 0, -3*b = 4*m - 400. Put -4, b, 3 in decreasing order.\nAnswer: b, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -39 - 27. Suppose -16 + l = -p. Suppose 0 = -3*b + p*i + 141 + 120, b - 5*i - 87 = 0. What is the remainder when b is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6263, -25058, -56393, -100274, -156707?\n\"Answer: -l**3 - 6264*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90045 and 399510?\nAnswer: 34757370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 8*o**2 + o - 2. Let j(p) = -p**3 + 6*p**2 - p + 2. Let t(l) = 4*j(l) + 3*n(l). Let x be t(1). Which is bigger: -7\/39 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*r)*(-95 + 10 - 39)*(5 - 2 + 1).\nAnswer: -992*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 567.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2544 and 17702.\nAnswer: 424848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/5, -6, -239, 19, -1\/182?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 280 and 5120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 11. Let w = 2829 + -2829.5. Sort 2\/19, -4, x, w.\nAnswer: -4, w, 2\/19, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 10*r + 16. Let q(h) = -4*h**2 - 2*h. Let d be q(-2). Let o = -10 - d. Calculate the remainder when l(-11) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/68 + ((-17778)\/(-2856) - 6). Let q(d) be the first derivative of -9 + 0*d**2 + 1\/35*d**5 + 0*d + 2\/21*d**3 - v*d**4. Factor q(m).\nAnswer: m**2*(m - 2)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**2 - 10*t - 1. Is 9 a factor of s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 21573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8116273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72716369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1847770127146 + -0.1.\nAnswer: -1847770127146.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 918 and 68298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -4*h - 4. Let i be u(-3). Let w = -6 + i. Solve 0*k = -w*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 169248 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.142  (b) 0.1  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 6. Suppose 18 = 2*m - 4*j, 5*m + k*m = j + 18. Let z(n) = n**2 - 4*n - 4. Give z(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3095, -16250, -38161, -68816, -108203, -156310, -213125?\nAnswer: -278636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1009381450 to the nearest 1000000.\nAnswer: -1009000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.332 - -0.3319511. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-24 + 15 + 14 + (-2 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 654.8 + -654.58164. Let k = -0.228409 + t. Let l = k - -0.01. What is l rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1623816.2 - -37911?\nAnswer: 1661727.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2725, -5524, -8317, -11104, -13885?\nAnswer: -16660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9116 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3.1, -958, 1\/3, 5, -11 in descending order.\nAnswer: 5, 3.1, 1\/3, -11, -958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1318, 10623, 35886, 85087, 166206, 287223, 456118?\nAnswer: 680871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of p**5\/60 - p**4\/8 + p**3\/6 + 21*p**2 - 17. Let q(s) be the second derivative of n(s). Calculate q(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 530553 (base 6) to base 15\nAnswer: cb06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of n**2\/2 + 96. Let r(b) = 194*b. Calculate r(k(t)).\nAnswer: 194*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1564545301 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i**3 + i**2 + 11*i - 7. Let w(c) = -2*c**3 + 6*c - 4. Suppose -5 + 1 = b. Let p(y) = b*m(y) + 7*w(y). Determine p(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5\/159 + -16\/53. Which is the third smallest value?  (a) r  (b) 6  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 33\/35 or 0.1?\nAnswer: 33\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1045, -2092, -3139?\n\"Answer: -1047*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/9  (b) 8  (c) -2\/17  (d) -0.3  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 59*l - 1371 = 45*l + 2688 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 221011?\nAnswer: 7, 31573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*g - 3. Suppose -2*b - g*b + 110 = 0. What is the least common multiple of ((-3)\/6)\/((-3)\/24) and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1087, -1091, -1093, -1093?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 5*i**2 + 4*i - 2. Let v(u) = 2*u + 8. Suppose 2*w - 8 + 22 = 0. Let d be v(w). What is o(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of 134*j**7\/15 + 581*j**5\/20 - 977*j**2 - 1. What is the third derivative of c(p) wrt p?\nAnswer: 45024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(5\/4)\/(r*r**2))\/(r**(-5\/3)\/(r**(-1\/8)\/r)) assuming r is positive.\nAnswer: r**(-29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - 16. Suppose 12*b + w = 13*b. What is the least common multiple of 18 and (16\/(-28))\/(b\/(-14))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 6. Let c(w) = -7*w**2 + 0*w**3 + 1 + 2*w**2 - 2*w**3 - j*w. Let f(p) = -p - 9. Let x be f(-6). Give c(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -63*m + 24. Let q be u(-11). Let k = q + -483. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4890, -17672, -30454, -43236, -56018?\nAnswer: -68800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 + 8)\/((-1)\/(-7)). Let r = u + -66. Solve -r*a + 3*t - 1 = 0, 3*a + 3 = t - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 5*u - 2. Let i be g(3). Let z(c) = 2 + 0 + 3*c - 4. Is 10 a factor of z(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1165*0.0735.\nAnswer: 0.00856275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8875845023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 37\/9, 1\/6, 1, 0.3, -48 in decreasing order.\nAnswer: 37\/9, 1, 0.4, 0.3, 1\/6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 386*y + 1393 - 368711 - 181574. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 332593449.\nAnswer: 3, 8461, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 46600 divided by 111?\nAnswer: 46600\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 7:11 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -3\/14*c**3 + 0 - 3*c**2 + 3\/140*c**5 + 1\/280*c**6 + 9*c - 1\/56*c**4. Determine n, given that g(n) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 3*w + 648 = 0. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-90)\/12)\/3)\/(125\/(-15))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/640 and -117\/6740?\nAnswer: 215680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 10*t**2 - 9*t + 1. Let p be h(9). Let g = 31 + p. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22351 + 22839. Calculate the greatest common divisor of h and 3050.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - 14 - 10. Suppose 0 = -3*r + 4*r + 2*o - 4, -8 = -3*r - 2*o. Suppose 4*u = f - 87, r*f + m*u + 44 = 207. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -15 - 10*q**2 - 18 + 42 - 9. Let c(i) = -6*i**2. Determine o(c(j)).\nAnswer: -360*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 471600 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4 + (sqrt(99))**2 + ((sqrt(704)*2)\/sqrt(4))**2.\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.06 - 1.06. Let p = 18033 + -18060. Sort p, s, 4 in increasing order.\nAnswer: p, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 296\/185*2*10\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 538 + -5401\/10. Let d(z) = z**3 - 9*z**2 + 6*z + 7. Let g be d(8). Calculate the common denominator of w and (-30)\/g*(-11 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*c + 6*c**2 + 61*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 175 = 6*z + 117, -38 = -19*h for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4\/11)\/(720\/19800)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 286*r**4 - 21533 + r + 21533 + r**2 in the form c*r**3 + u*r**2 + d + l*r**4 + w*r and give l.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 17*x. Let g(f) = -4*f. Calculate n(g(a)).\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from fwwfffwwfwfffwwf?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 5:13 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4612 + 29585.4858.\nAnswer: 29585.0246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*m - 5*m + 1 + m + (0 + 2 - 3)*(-m + 2*m + m).\nAnswer: 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 2. Let p = v + -3. Let f = 4 + p. Put f, -1, -2 in ascending order.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1932, 3789, 5652, 7527, 9420?\nAnswer: 11337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 10*k**2. Let g(m) be the second derivative of 13*m**3\/2 - 85*m - 2. Give g(v(q)).\nAnswer: 390*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-3)*-1)\/((-30)\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/26 - (-4)\/(-26). Let l = 0.41 - 0.01. Which is the smallest value?  (a) -0.1  (b) l  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 1439838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -738 (base 16) to base 12.\nAnswer: -10a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 40973159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -2*n - 4*u, 825*u - 34 = 2*n + 816*u + 5 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-2)*-2 + 4. Let f(j) be the first derivative of v + 0*j**3 + 1\/16*j**4 + 0*j**2 + 0*j. Factor f(r).\nAnswer: r**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/4)\/f*f*f*f\/(f\/(f**(-4\/3)*f))*f)\/(f*(f**(2\/9)*f*f)\/f)**21)\/((f\/(f\/f**(-3)))**(-18\/7))**15 assuming f is positive.\nAnswer: f**(-4507\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1189 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {f: 1, n: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1740269*b**2*f**3 + 158*b**2*f**2 + 23003*b**2*f + 4*b**2 - 267 wrt f?\nAnswer: 10441614*b**2*f + 316*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 17*s**2 + 2*s + 1. Let g be h(2). Suppose -3*k + g = b, 3*k - 2*b + b = 83. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**22*h)**(2\/21)*(h**(-13)\/h)\/h*h*h**(-39\/4) assuming h is positive.\nAnswer: h**(-1811\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 3)*(-1 + 0 + 3)*(17*w**4 + w**4 + 4*w**4) as f + k*w**2 + i*w**4 + a*w + n*w**3 and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/14 + 99\/(-21). Suppose 5*l + 7 - 47 = 0. Let g = o + l. Solve g*b + 12 = 7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-14) - (-100)\/(-28). Let n be -1 + 6*m\/(-8). Let t = -24 + 41. Solve 4*s - t = c, -c + 1 = n*s - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496164 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in 0.02, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of v**9\/13608 - v**8\/1890 + v**7\/756 - v**6\/810 - 3*v**3\/2 - 6*v. Let m(l) be the second derivative of i(l). Factor m(t).\nAnswer: 2*t**2*(t - 2)*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -5998*o**2 - 2666*o**2 + 1355*o**2. Let d(t) = -2*t**2. What is d(v(z))?\nAnswer: -106842962*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 138 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2*n**3 - 2 - 3 - 13*n**3 - 5*n. Suppose 19*l = 158 - 196. Let w be k(l). What is the greatest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 221*y**3 + 3*y**2 + 3*y. Let d(s) = 222*s**3 + 4*s**2 + 4*s. Calculate -3*d(q) + 4*v(q).\nAnswer: 218*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 45 + -81. Find the common denominator of 89\/8 and 3\/2 - (-194)\/r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 13*a**2 - 14*a - 15. Let i be h(-12). Let t(m) = 6*m - 9. Let b be t(18). What is the greatest common divisor of i and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*w*z**3 + 5*w*z + 33*w + 2322*z**3 + 1 wrt w.\nAnswer: -5*z**3 + 5*z + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 11*n - 12. Let h be x(-11). Let a = -927 + 926.8. What is the fourth smallest value in a, 4, h, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 63908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -134*x + 494*x - 77*x - 165*x - 189*x. Let i(a) = a**2 - 11*a + 11. Let g(c) = -c + 1. Let h(k) = 44*g(k) - 4*i(k). Calculate d(h(w)).\nAnswer: 284*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 3*t - 5. Suppose -8 = 2*m, -o + 0*m + 5*m - 12 = 0. Let y = o - -37. Let v be u(y). Solve -5*j - v*b - 50 = 0, -5*j + 5*b = -3*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**3 + h**2 + 2. Let w be (-1)\/(-2)*(0 + 0). Suppose g + 0*g - 3 = w. Suppose -5*s + g*s + 2 = 0. Let k(o) = o**3 - o**2 + 1. Give s*b(p) - k(p).\nAnswer: 2*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {f: 5, r: 6, u: 1, d: 7}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7717.\nAnswer: 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 = -32*p + 88. Solve -4*i = -p*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2, -23, -72, -151, -266, -423, -628, -887?\n\"Answer: -o**3 - 6*o**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 95214 and 3?\nAnswer: 95214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n**3 - 4*n**2 - 10*n + 6. Let c be y(-10). Suppose 4*a = 22 + c. Suppose a = -q + 5*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (-3 - (-6 - 12)) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(50\/44)*((-8645)\/(-114))\/(-91)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -70 + 70 + 3*r**2. Let i be d(-1). Suppose i*k = 4*k - 4. Solve 3*s + 0*s + 2*y + 9 = 0, -2*s = -k*y - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 10:37 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -558*l - 33 = -x - 544*l + 1, 2*l = -4 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 - 40. Let q(n) = -6*n**2 - 24*n + 8. Let r be q(x). Let b = r + 507. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -2*c - 9 - 7, -2*s + 7 = -5*c. Which is greater: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 134 or 136189\/1015?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 348*m**3. What is the units digit of y(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-3)\/(-6)*32. Let i = -6 - r. Solve 4*x + i = -3*p + 2, -16 = 4*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of 3\/2*g**3 + 7\/60*g**5 + 0*g + 0 + 0*g**4 + g**2. What is the first derivative of b(o) wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 66*v - 33*v - 297. Suppose -g + j + 581 = 0, 6*j - v = 3*j. Calculate the highest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004038 to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 25 = -v, -2*m + 3 = -v - 0. Suppose -24 = -x + 5*w, x + 4*x + v*w - 30 = 0. What is the smallest common multiple of x and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 39  (b) 0.1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-6)*(-33)\/11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-6 - -1)) + (68 - 70).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 9 + 1 = 0. Let i be y + 8*1*1. Let z be (-4)\/i + (-39)\/15. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -117*k**2 + 4. Let z(b) = -b + 261. Calculate l(z(w)).\nAnswer: -117*w**2 + 61074*w - 7970153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18946 or 18999?\nAnswer: 18999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from {h: 1, n: 5, c: 14}.\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 11:46 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -5432.6.\nAnswer: -10865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 0. Suppose 0*y - 28 = o*y. What is the tens digit of (-1)\/((y\/(-32))\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 less than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 40723558949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**3 + 10*u**2 - u - 3. Let i be q(-5). What is the first derivative of -68*h**3 + 19 + 21*h**2 - 21*h**i + 29 + 51 wrt h?\nAnswer: -204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m + 44. Let f(t) = -1102*t - 219. Determine -2*f(s) - 10*o(s).\nAnswer: 2184*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0  (b) 4472  (c) -6  (d) 2\/53  (e) 0.03  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 774 - 6901\/9. Find the common denominator of -63\/4 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5368*a**2*y + 2*a*y**2 + 179*y**2 - 2*y + 12 with respect to a.\nAnswer: -10736*a*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -2*i + 2000, -t = -9*i + 10*i - 1003. List the prime factors of i.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3283 + -3?\nAnswer: -3286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62*0.3.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 564.2944 minutes to nanoseconds.\nAnswer: 33857664000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -75*u - 17. Let x be m(-2). Let s = x - 136. Put -6, s, 5, -2 in increasing order.\nAnswer: -6, s, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -28*n - 135. Let v be f(-5). Let y be ((-6)\/(-2))\/(3\/(-16)). Let u(h) = 6*h + 16. Let w(b) = 2*b + 5. Let k(a) = v*u(a) + y*w(a). What is k(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28\/93 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 - 4*z**2 - 10*z**2)*(-3*z**2 + 4*z**2 + 0*z**2).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -9*y**2 + 6*y - 3. Let b(n) = 4*n**2 - 3*n + 1. Give -5*b(p) - 2*m(p).\nAnswer: -2*p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 50 divided by -1320\nAnswer: -5\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p + 17586 = 14*p. Let u = 6305 - p. Suppose -5796 - u = -2*n + 2*y, -2*y = 2*n - 9162. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(224) + sqrt(224) + 1*sqrt(224) + sqrt(224))\/sqrt(7) - -2*sqrt(800) - (sqrt(3200)*-1 + 1))*4*-1)**2.\nAnswer: -27648*sqrt(2) + 2654352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -25*p**2 - 4*p + 3*p**2 + 19*p**2 + p**3 - 6 + 2. Calculate h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6229648 by 2.\nAnswer: -3114824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 7*g + 14. Let s(f) = f**2 + 5*f + 9. What is 5*h(r) - 8*s(r)?\nAnswer: -3*r**2 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from {n: 2, r: 1, j: 4, o: 6, v: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 14 = -3*s. Suppose 2*a - 8 = -4*h, 4*a - 3*h = -h - 14. Let u be -1*(a + 6) + 14. Solve -s*f - 5*g + 44 = 14, -5*g - u = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(1008) - (-3 + sqrt(1008)*-2) - (-2 + 0 + sqrt(1008) + sqrt(1008) + sqrt(1008)) - (1 + ((sqrt(1008) + 0 - sqrt(1008)) + 0)**2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -541 - -1101. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/((-35)\/7))\/((-338)\/52)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -5*i**2 - 505*i + 2100 = 0.\nAnswer: -105, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cng when three letters picked without replacement from scnmnagg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00205801 to five decimal places.\nAnswer: -0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fuufffujffuuf. What is prob of sequence ff?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -14899 * 2.6\nAnswer: -38737.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**2\/3 + 34*m\/3 - 840 = 0.\nAnswer: -70, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -9283880 rounded to the nearest ten thousand?\nAnswer: -9280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3109*y - 331 + 343 - 3106*y.\nAnswer: 3*y + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 6*s**2 - 7*s + 7. Let n be a(-7). Let z(u) = -u**3 - 2*u**2 - 4*u + 2. Let r(f) = 4*f**3 + 7*f**2 + 13*f - 7. Give n*z(x) + 2*r(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7438260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*v**4 - 5*v**3 + 15*v**2 + 2*v + 831 wrt v?\nAnswer: -24*v**2 - 30*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36*h**2*n**2 + 123*h**2*n - 2*h**2 - 2*h*n**2 - 63*h*n + 5 wrt h.\nAnswer: 72*n**2 + 246*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 4*q**2 - 2*q. Let f be i(2). Solve -4 = 2*w - 3*a, 3*a = f*w + 7*a - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 5*t + 57. Let l be 2 + (-116)\/t + 4. Which is the nearest to -0.1?  (a) -0.3  (b) 1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.83 - 62.17. Let s = 63.2 + r. What is the second smallest value in s, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 - -0.1. Let m = -0.86 - 0.14. Let r = m - d. Which is the closest to 0?  (a) -5\/3  (b) r  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 116*d**3 + 3*d**2 - 26*d - 15397 wrt d.\nAnswer: 348*d**2 + 6*d - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -589.87 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, 3\/4, 0, -0.6, -0.3.\nAnswer: -0.6, -0.3, 0, 2\/13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (h - 4 + 9 - 3*h)*(-1 - 1 - 2)*(-2 - 1 + 2) in the form r + x*h and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 19628*f - 4110*f + 4 - 6.\nAnswer: 15518*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -1327, 17, -6.\nAnswer: -1327, -6, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 101031 (base 4) to base 2\nAnswer: 10001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 12:16 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.237084 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2211 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2*b + 365 = 3*c, 5*c - 365 = b. Suppose 4*f = -2*v + 48, -5*f + 6*v + c = 2*v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -278 or -280?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 10 + -29 + -24\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from {n: 1, k: 1, v: 6, e: 2, z: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 16 + 113*h**2 + 15 - 107*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*p - 8*p - 7*p - 1 + p + 1 + (3*p - p - 4*p)*(2 - 2 - 2) - 4 + 4 - 3*p - 3*p + 6*p - p to the form i*p + l and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*50 + (-3444)\/(-287)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7031135 less than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -181 - -7769648.434\nAnswer: 7769467.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from -71988022790.\nAnswer: -71988022787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 4*g + 416, -2 = -3*g - 8. Suppose -u = -26*c - 28. Solve -c*t + 8 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1611 or 315?\nAnswer: -1611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + -74. Let o = y - -64. Put 4, o, 5 in increasing order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*y - 19 = 349 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 613416 (base 8) to base 11\nAnswer: 129170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 382603?\nAnswer: 13, 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 1572*v**2 - 12588*v + 20. Calculate a(8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 955*o - 2*s + 16 = 951*o, 2*o + 2*o + 11 - 83 = -9*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0019361931 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111102 - -2?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 917111*p**3 - 1235*p**2 - 1235*p - 1235. Let a(l) = 2226*l**3 - 3*l**2 - 3*l - 3. Give -1235*a(h) + 3*i(h).\nAnswer: 2223*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g - 5. Let l be k(5). Let q(s) = -s**3 + 5*s**2 - 2*s + 7. Let y be q(l). Let o = -2 - y. Calculate the highest common factor of o and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f. Let l(k) = 3*k + 11. Let s(i) = 2*i + 13. Let v(y) = -y - 7. Let g(d) = 3*s(d) + 5*v(d). Let p(a) = -11*g(a) + 4*l(a). Calculate p(q(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -220 + 168. Which is greater: -103\/2 or l?\nAnswer: -103\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-264)\/429)\/(2\/(-39)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2606062*r. Let s(c) = 3*c**2 + 17*c. Determine v(s(j)).\nAnswer: 7818186*j**2 + 44303054*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1549, 0.2, -4, -597?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*r**2 - 2*r**2 + 0*r**2)*(0 - r + 0) + (368 + 3 + 225)*(-1 - 2 + 5)*(0 + 0 + 2*r)*(1 - 1 + r**2) to the form c + p*r**3 + a*r + l*r**2 and give p.\nAnswer: 2383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 86*n. Let o(u) = 17*u. Let x(i) = 2*c(i) - 11*o(i). Let j(f) be the second derivative of 1\/6*f**3 + 0 + 12*f + 0*f**2. Calculate j(x(k)).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -429147*c**2*j**4 - 14*c**2*j**2 - 18952577*c**2*j wrt j?\nAnswer: -5149764*c**2*j**2 - 28*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -137, 3 in decreasing order.\nAnswer: 3, -1, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 189237011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7484640544 to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102201 - -202002000121?\nAnswer: 202002110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -180 - -176. Let p(n) = n**2 + n - 3. What is p(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -47, -111, -219, -395, -663, -1047?\n\"Answer: -4*h**3 + 2*h**2 - 42*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -1581*n - 23. Let u(m) = m. Calculate u(a(t)).\nAnswer: -1581*t - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of -n**5\/60 + n**4\/3 - 2*n**3\/3 - 4*n**2. What is q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 68*c**4 + 8*c**2 - 4*c + 42. Let z(x) = 68*x**4 + 6*x**2 - 3*x + 43. Let v(o) = 3*h(o) - 4*z(o). Differentiate v(t) wrt t.\nAnswer: -272*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2)\/t)\/t)\/((t*t\/t**(-6))\/t*t)*t**(3\/4)\/t*t*t*t*t\/(t\/t**(-5))*((((t*t**1\/t)\/t)\/t)**16)**(-1\/21) assuming t is positive.\nAnswer: t**(-1133\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from csikiswss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 5*j + 212 = 0, -t + 102 = -5*j + 18. Let p = t - 69. Let a(v) = v**2 + 0 + p*v - 9*v + 9*v - 3. Calculate a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 0.2  (b) 0.9  (c) -0.12  (d) 0.4  (e) 1\/6  (f) -2\/13  (g) -196\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12149, -28551, -49195, -74081?\nAnswer: -103209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.5966 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46*j**3 + 50*j**3 - 10*j**3)*(j - 2*j**2 - j) - 2*j**5 + j**2 - j**2 + (5*j**2 - 4*j**2 - 2*j**2)*(3 - j**3 - 3).\nAnswer: -173*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**2 - 4*a. Let t(k) = k + 1. Determine f(o) + 2*t(o).\nAnswer: 4*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16917.06 millennia in months?\nAnswer: 203004720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1, -8, 5, -3.\nAnswer: -8, -3, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + m - 20 = 0, 28 = 3*p + 2*m - m. Let t = 11 - -3. What is the remainder when t is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28801 and 63355607.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1 and 406876.1.\nAnswer: 406877.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 461 is divided by 82.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h. Let c be m(0). Which is smaller: c or 2\/25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -408 - -411. What is the nearest to 0.2 in 1, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4 - 375*d**3 - 7137*d**2 + 24759*d.\nAnswer: d*(d - 393)*(d - 3)*(d + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3624?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)*-2)\/sqrt(8).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003028415 rounded to seven dps?\nAnswer: -0.0003028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-10))\/(k*k*k*k\/k**(-6))*(k*k\/k**(-9)*k*k)\/k**(-2) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1717, 0, -8, 1 in decreasing order.\nAnswer: 1, 0, -8, -1717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -2203, 0.3.\nAnswer: -2203, -3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 45 - 7*j + j**2 + 3 - 11*j. Let d be l(3). Solve -6 = 5*v - d*k - 34, 2*v + 2*k = 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**2 - 2*a**2 + 3*a**2 + 0*a**2 - 4*a**2 + 2*a**2 + (-2*a + a**2 + 2*a)*(-2 - 3 + 4) - 25*a**2 - 4 + 6 - 5*a**2.\nAnswer: -34*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - -180. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -2\/33*u**3 + 0*u**2 + 156 - 2\/55*u**5 + 0*u + 1\/11*u**4. What is p in b(p) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + -1 + sqrt(13))*-5*5)**2*-5.\nAnswer: -90625 - 25000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 526, -1\/5, 0.02, 4, 1632?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uzf when three letters picked without replacement from sfnsfsznnnunrsnzn.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {d: 4, c: 3, e: 2, w: 4, j: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 5)*(2325*v - 434*v - 1134*v + 1989*v) + 0*v + 0*v - 3*v.\nAnswer: -5495*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 6 = k. Let x(y) = -6*y - 8 + y**2 + 9*y - k*y. Calculate the remainder when x(6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3162*s + 15 + 1031*s - 16 to the form w + m*s and give m.\nAnswer: 4193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 25, 35, 45, 55, 65, 75?\n\"Answer: 10*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 7 + 13, 2*r + 2*z + 18 = 0. Let a = 3 + r. Let k be 2*a\/(-10)*5. Is k at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -57.74 times 57\nAnswer: -3291.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 15391964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/12 and 8\/393.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from biccicrrrrccurc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-116)\/16 + (-2)\/((-8)\/(-3)). Which is the nearest to -2?  (a) -3\/4  (b) m  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of 0*s**3 + 0 - 1\/3*s**4 + 0*s**2 + 22*s. Let o(j) = 13*j**2. Determine o(v(t)).\nAnswer: 208*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((16\/16)\/(2\/(-58)))\/((-332)\/332).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -41255*r + 495. Let k(f) = -2947*f + 36. What is -55*k(g) + 4*z(g)?\nAnswer: -2935*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3657298 + 1144*c**3 + 1828645 + 1828653.\nAnswer: 1144*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, f: 3, c: 1, k: 1, j: 4}. What is prob of sequence kt?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -395, -767, -1135, -1499, -1859, -2215, -2567?\nAnswer: -2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h*h**(2\/13)*h))**(-12\/5))**(-41))**(-2\/11) assuming h is positive.\nAnswer: h**(2952\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57258500 and 794725.\nAnswer: 9575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 88118 - (12 + -5)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(225) - (sqrt(225) + -4*(-1*sqrt(225) + sqrt(225) + sqrt(225)) + sqrt(225)))\/(sqrt(20)\/(2*sqrt(4))) + -4 + 0)*-3 + 5.\nAnswer: -54*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*j - 27 - 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 3*l = 13, 0*l - 7 = q + 3*l. Suppose -2*w = q*w. Let b be w - (4\/2 + -8). Solve -f = -b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1189 less than 59053928.7?\nAnswer: 59053928.5811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (194*w**3 - 10*w**2 - 4*w**2 - 182*w**3)*(-2*w**2 + 2*w**2 + 2*w**2).\nAnswer: 24*w**5 - 28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -94986421, -94986417, -94986411, -94986403?\n\"Answer: d**2 + d - 94986423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (0 + 0)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y = 25*y + 540. Let m = -120 - y. Let j = m - -70. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*a - 12485 = 69*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, p: 7}. Give prob of sequence pkp.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = -3*z - 54. What is the units digit of (0 + 2 - z)*(3 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2*(3\/2)\/((-9)\/(-12)) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 14, -2, 4 in decreasing order.\nAnswer: 14, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 + 4*d - 5. Let a(s) = -130 + 2*s - s**2 + 298 - 169 - s. Determine -4*a(p) + t(p).\nAnswer: 5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + p - 1. Let r(m) = -5*m**2 - 11*m - 2. Let z(d) = -r(d) - 4*t(d). What is the units digit of z(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 0*t + 4 + t**2 + 2\/5*t**5 + 3\/2*t**4 + 2*t**3. Let p(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 - 28.5. Let m = -19.503 + -0.397. Let a = 20 + m. What is the closest to a in 3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from popriiopkiipripppi. What is prob of picking 1 p and 1 r?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**4 - 2*a**3 + 2*a**2 + 2*a + 40. Let q(l) = l**4 - 3*l**3 + 3*l**2 + 2*l + 39. Let y(j) = -3*f(j) + 2*q(j). What is the derivative of y(z) wrt z?\nAnswer: -4*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/13, 5, -0.4, 323048?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -73*c**3 - c**2. Let d be r(-1). Let b = d + -49. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24.4 - 25. Let j = b + 0.7. Suppose 0 = -x + 7 - 2. What is the third biggest value in j, x, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 2557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence czaz when four letters picked without replacement from {a: 3, z: 12, c: 3}?\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 0*u = -591. Suppose 497 = 5*r + 2*x, -2*r = -0*x - x - u. What is the remainder when r is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6685629, 6685606, 6685583?\n\"Answer: -23*w + 6685652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/4)\/z*z)**(-1)*(z*z*(z\/((z*z**(-6))\/z))\/z*z)\/z**(3\/8) assuming z is positive.\nAnswer: z**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = -5*s + 11 - 18, 3*j - 2*s + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(-7\/4)*f*f**19 assuming f is positive.\nAnswer: f**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3313911319 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -196613 (base 10) to base 2.\nAnswer: -110000000000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 145*z + 174*z + 3 to s*z + m and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11505 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -m + 14. Suppose -5*g + 21 = 4*f, 3*f + g = 32 - 8. What are the prime factors of 27\/f - (-1 - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 137086776.\nAnswer: 2, 3, 17, 37, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*v - 6. Let f = v + 4. Let u be 1\/(1314\/360 - (-2)\/(-5)). Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*c**4 - 1702770*c**3 + 2*c**2 + 2*c + 116813 wrt c?\nAnswer: -48*c - 10216620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -47243\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 74*i - 1110. Let t be x(15). Let g = 2 + -1. Let w be (t + (3 - (-4)\/(-2)))\/g. Sort -35, w, -0.2 in descending order.\nAnswer: w, -0.2, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -1. Let w(m) = -24*m - 6. Let j(i) = 2*w(i) - 2*y(i). What is the tens digit of j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -24 + 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*m + 20*m - 14*m - 9*m + 88*m + 93*m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (205 + 17 + 143 - 38)*(-426*c**2 + 25 + 214*c**2 + 2*c + 211*c**2).\nAnswer: -327*c**2 + 654*c + 8175","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1445354?\nAnswer: 2, 433, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001977 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -643, -17, -5, -53, -1, -3.\nAnswer: -643, -53, -17, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1426060745?\nAnswer: 5, 61, 4675609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 196040 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 42 in 68.9, 0, -211?\nAnswer: 68.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34bc (base 14) to base 2.\nAnswer: -10001111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -378799.417 - -1.3948\nAnswer: -378798.0222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*v + 48 - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -3791, 0.3, 4, -2 in increasing order.\nAnswer: -3791, -3, -2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-2\/5)*l\/l**(1\/5))\/(l**(-6)\/(l\/(l**(-1\/3)\/l*l)*l*l*l)))**6)**(-16\/11) assuming l is positive.\nAnswer: l**(-5152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.51 - -7.51. Let f = 0.03 + 1.97. What is the closest to -1\/5 in -4, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -273, -328, -387, -450, -517, -588, -663?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/6)\/((-30)\/40). Let o = -1.2 + 0.7. Let t = -5.01 + 0.01. What is the second biggest value in z, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u - 15. Let s be n(-8). Is 18 a factor of (s - -3 - 82)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22bb39 (base 13) in base 10?\nAnswer: 825782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-21)\/(-24) + (-8)\/(-128)*2. Let j(m) = m**2 - 3*m + 2. What is j(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 + -2 + 2)\/(-1). Put o, -5, -7 in descending order.\nAnswer: o, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of 5*n**4\/4 + n - 4. Let c(q) = -6*q**3 - 1. Let u(l) = -4*l. Let p be u(1). Determine p*c(v) - 5*f(v).\nAnswer: -v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28562*t - 26195*t + 11835 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7424 (base 10) in base 3?\nAnswer: 101011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 7 = -0*z + 4*h, 3*h = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - s = 4*s - 30, 12 = 5*u - 4*s. Suppose -u*z + 6 = -2. Let f be 3\/(12\/z) - (-42)\/12. Solve x - 3*o = -8, 5*x - 4*o = -f - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -581, -15 in decreasing order.\nAnswer: 5, -15, -581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/2)*c\/c**10)\/(((c*c**(16\/9))\/c)\/(c\/(c\/c**(-1)*c)*c*c)))**(3\/14) assuming c is positive.\nAnswer: c**(-185\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50307\/23 - 2187. Solve 0*c**3 + 0 + 4\/23*c - q*c**2 + 2\/23*c**4 = 0 for c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b + 87 = 131 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 414\/(-72) - 3\/12. Let d(b) = -26*b + 106. Is d(i) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*p - 5, 0 = -p + 6*p - d - 7. Solve 0 = 4*b - 5*b + p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 = -5*p - 605. Let k be 1\/(-9) + p\/(-36). Let j be k\/(-6) + 64\/78. Which is the nearest to -2\/7?  (a) 2\/3  (b) -1\/7  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -1. Let d be (-2)\/3 - (2 + 32\/(-12)). What is the units digit of 2 + d\/(2 + l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 10*c + 6655. Let p(g) = 4*g + 2217. Determine 8*p(h) - 3*r(h).\nAnswer: 2*h - 2229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99129337, -99129333, -99129329?\nAnswer: -99129325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k + 24*k**2 - 3*k + 78*k**2.\nAnswer: 102*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 6, -31*t = -z - 29*t - 8. Solve z*a + 4*x + 12 = 0, -2*a + 24 = -0*a - 4*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 8:10 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*f**2 + 118*f**5 - 125*f**5 + 2*f - 18*f**2 + (-3*f + 2*f**2 + 3*f)*(-2 + 2 - f**3) - 3*f**5 + 0*f**5 + 5*f**5.\nAnswer: -7*f**5 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 15 = -4*o, 3*n = -5*o + 40. Suppose 0 = n*u + 4*t - 1649, -313 = 24*u - 25*u - 5*t. Calculate the greatest common factor of 37 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/(-28) - (-232)\/(-14). Let h = -10 - l. Solve -3*k + 3*d - 29 = -h*k, 0 = -3*k + 5*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*n**2 + 23*n**2 - n**4 - 3*n**2 + 1 + 24*n**2 - n - 5*n**3 as v*n + z*n**3 + a*n**4 + c + l*n**2 and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*j + 4*j + 0*j + (17 - 3*j - 17)*(130 - 325 + 159) - 3*j + 0*j - j in the form i*j + s and give i.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**2. Suppose 10 + 2 = -3*c. Let l(u) = u**2 + 4*u + 2. Let j be l(c). Let t(k) = 0 + 2*k**j + 0. Calculate t(y(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -4*n - n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 598961\/255 - (-4)\/30. Is 9 a factor of 3\/(-24)*2 - m\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**2 + 169523 - 85420 - 6*c**2 - 84103.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16547, -16295, -15865, -15257?\nAnswer: -14471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -6*m**2 + 2*m - 2. Let a(b) = 32*b**2 - 11*b + 11. Let k(y) = 4*a(y) + 22*h(y). Let d(l) = -41*l. Give d(k(x)).\nAnswer: 164*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5143, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22 - -1318)\/12 - (9 - -7).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 + 16*s + 33. Give o(23).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of 0*z**2 + z + 1\/20*z**6 + 0 + 0*z**4 - 1\/8*z**3 + 9\/80*z**5. Let j(i) = 0. Calculate i.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of 7*x**4 - x**2 - 74*x - 90. Differentiate r(i) wrt i.\nAnswer: 84*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 41\/9?  (a) -6.61  (b) -1  (c) 4\/3  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(5\/8)\/c)\/((c*c\/c**(-1\/9))\/c*c))\/((c**18*c)\/c**4) assuming c is positive.\nAnswer: c**(-1115\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 329\/330 - 82\/165. What is the second smallest value in 7, 1\/4, 1\/6, g, -1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38863 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 7:34 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 + 25*m**2 + 24*m + 15. Let l be s(-24). What is the highest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - 13. What is the units digit of 5*((-9)\/h + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 135 - 979. List the prime factors of d.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 109. Let x = v - 73. Suppose -4*s = -910 - 422. Calculate the highest common factor of s and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-7))\/b*b**(2\/33) assuming b is positive.\nAnswer: b**(-229\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/52 and -11\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 16 + 4*r - 2*r - 15. Let k(o) = 2*o - 3. Let b(u) = -2*u + 2. Let s(h) = 4*b(h) + 3*k(h). Calculate -4*s(t) - 3*y(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + -7. Let g(d) = -d - 6. Let v be g(u). Sort -1, -2, v in decreasing order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 2982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - z = -16, -3*z - 4*z - 25 = 6*o - 2*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1101312 (base 4) to base 11\nAnswer: 3a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -15*y**2 + 3*y + 4*y - 7*y. Let m(z) = 6*z - 3*z - 2*z. Give m(n(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5619 - 1399 = -485*c - 389*c + 2596 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 + 16. Put -4, m, 0.5 in ascending order.\nAnswer: m, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - 2\/12*10. Put 0.2, u, 2 in decreasing order.\nAnswer: 2, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -815*f - 234*f - 19158 - 33341 = 68*f for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*s + 20 = -d, 2*d - s = 5. Sort -4, d, -3 in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1615*i**2 + 11*i**3 + 1 - 1615*i**2 in the form t + p*i + g*i**2 + u*i**3 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 223146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -31714, -127268, -286520, -509470?\n\"Answer: -31849*g**2 - 7*g + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -3 + (sqrt(153) + sqrt(153)*2*-5)\/(sqrt(1296) + sqrt(1296)*-3) + 3.\nAnswer: 3*sqrt(17)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 3*k**3 + 3*k**2 + 2*k - 1. Let y(h) be the first derivative of h**4\/4 + h**3\/3 + h**2\/2 - h + 17. What is -c(l) + 2*y(l)?\nAnswer: -l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 14061.\nAnswer: 1\/4687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*1*2144\/6. Let l(f) = -1119*f**3 - f**2 + f - 2. Let w be l(-2). Let s = n + w. Round s to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -14*c + 82. Let g = -17877 + 17885. Calculate d(g).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 21*r**2 + 3*r + 41. Let d(p) = 2*p. Determine s(d(q)).\nAnswer: 84*q**2 + 6*q + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of f**6\/360 - f**4\/24 + 34*f**3 + 7*f**2 - 18. Let l(y) be the first derivative of p(y). Give l(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 450861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6524 is divided by 273?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 - -8 - (-71 - -176).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 7*s**2 + 6*s + 6. Let d be n(6). Suppose 2*b = -2 + d. What is the second biggest value in -3, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*j = -2*l - 42*j + 11, 3*j = 3 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*q**5 - 68*q**4 - 71*q**2 - 5?\nAnswer: -600*q**2 - 1632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.1 - -1.1. Let w be -3 - -5 - ((-20)\/(-5) + 43). Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 8*a**2 - 166*a + 755. Calculate l(9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 253301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7896 by -141.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - 27*p**2 - 75*p + 682. Give i(-23).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 65 = -t + 4*t - 26, 4*f + 24*f - 1316 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -143757*c**4 + 143757*c**4 + 52*c**2 + 400*c**5 + 2 wrt c?\nAnswer: 24000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hrfarhawhbhb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b + 14. Let p be o(-2). Suppose 27*k - 355 = p*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24686.\nAnswer: 2, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 158 - 158.5. Let x = 14.7 + -12.7. Sort v, -3, -0.4, x.\nAnswer: -3, v, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o + 1. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-21 - (-4 - 6)) - -12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2879429924*x + 41 + 2879429927*x - 41.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 6*t**2. Let a(h) be the first derivative of h**5\/12 + 3*h**2\/2 + 13. Let m(k) be the second derivative of a(k). Calculate x(m(q)).\nAnswer: 150*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -12. Let a(j) = -j**2 + 6*j - 8. Let b(u) = -2*u**2 + 13*u - 15. Let g(m) = 11*a(m) - 6*b(m). What is the lowest common multiple of g(14) and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: 40.7*2\nAnswer: 81.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -17.1\nAnswer: 19.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*c + 14*c + 20 = 4*u, u - 22 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 5031.402 minutes?\nAnswer: 301884120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 826.3 to the nearest 10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n**2 + 3*n + 48. Let o be j(-24). What is the units digit of o\/(-16)*(-4)\/(-3) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 466*l - l**2 - 4 - 467*l + l**4 + 4. Let c(s) = -177*s**4 + 126*s**2 + 18*s. Let j(w) = c(w) + 18*x(w). What is the third derivative of j(m) wrt m?\nAnswer: -3816*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from {b: 11, v: 5}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1.27014521*-0.2\nAnswer: -0.254029042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4239*h**2 + 3103*h**2 - h + 304*h**2 - 832*h**2.\nAnswer: 6814*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5))**(-38)\/(j\/j**4*j**(-2\/19)) assuming j is positive.\nAnswer: j**(-1149\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -64, -95, -126?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57863139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -11*v - 7. Let d be z(-2). Suppose 7*k = 12*k - d. Solve 3*c + 13 = -2*b, 0 = -4*b + c - 2 - k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.8275973 rounded to one dp?\nAnswer: 31.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 87 = -g + 65, 4*b = -3*g + 29. Solve -b*s = -4*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 272 - 260. Calculate the least common multiple of h and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 8*c**2 - 12*c + 16. Calculate o(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11399902153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*z - 0*z + 90 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -130+36.562\nAnswer: -93.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - n + 11 = -2*n, 3*m - 21 = 5*n. Suppose -29*h + 53 = -179. Suppose -m*x + 324 = h. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 9*r - 8. What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 3*w - 7728, -4687*n + 4686*n + 3897 = -4*w. Calculate the least common multiple of n and 27.\nAnswer: 34857","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*d**3 + 7*d**3 + 24*d**3 + (1 - 2 + 0)*(-14*d**3 - 161 + 161))*(-3*d**2 + 4*d**2 + d**2).\nAnswer: 64*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*d - 14*d - 3*s = -7, -3*d - s = -13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j + 10992 - 10929 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-137)\/4 - ((-1876)\/536)\/((-14)\/3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35 - -41. Let y(g) = -3*g**2 + 6 - g**3 - g - g + 10*g**2. What is the units digit of y(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) 11  (c) 1\/6  (d) -0.09  (e) 4021\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-6)*(2 + -8). Let z(c) = -2*c - 3*c + 5*c + c. What is the units digit of z(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = 2*r + 7, -1 = -r - 1930*c + 1935*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -12986854?\nAnswer: 1298685.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1022420 and 7973.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 498\/(30603\/(-4761) + 3). Let j = 2472\/17 + a. Find the common denominator of 53\/20 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.09 or -0.2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -13 - -10 - 86\/(-26). Let g = 1\/39 + f. Factor -2\/3*b + 1\/3 + g*b**2.\nAnswer: (b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-4)\/(-80))\/((-2)\/(-15)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22010212 + -11?\nAnswer: 22010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2*i + 0 + (0 - 1 - 2)*(3 - 8 - 2 - 2*i).\nAnswer: 8*i + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -bb0 (base 15) to base 2\nAnswer: -101001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 12*a**2 - a + 16. What is the smallest common multiple of 20 and g(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**2*n**3 - 10912*a**2*n*y**3 + 2030*a*n**3*y**2 + 2*a*n*y - 2*a*y**3 wrt a?\nAnswer: -2*n**3 - 21824*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 22*y**2 - 2*y - 1. What is g(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 5*v = 1056, s + v + 193 + 135 = 0. Sort 2, s, 5 in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113992 is divided by 22798.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffffaaffffafffff. What is prob of sequence faff?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 35*((-54)\/189)\/(8\/(-108)*3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 236 = -2*r + 1762, -10*r = 3*z - 7676. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45100.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/5)*j**4)**27*((((j\/((j\/((j\/j**1)\/j)*j)\/j))\/j)\/j*j)\/j)**(-24)\/((j\/j**(-2\/3))\/j)**20 assuming j is positive.\nAnswer: j**(2338\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -32*q**2 + 4640498*q - 2610270 = 0.\nAnswer: 9\/16, 145015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3726030 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*r - 5. Let p = -55 - -111. What is the highest common factor of r and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1278527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12919 - -64344\/5. Let w = o - -1348\/15. Let a = -40 + w. What is the smallest value in a, -5, -2\/67?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -51672*w + 4 - 51674*w + 103344*w. Let f(x) = -3 - 4*x - 4*x + 20. Determine 6*f(m) - 26*p(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 5*d + 51 = 4*z + 27 - 41, 2*z = -2*d - 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 3 = 7. Let s(y) = -107*y**j + 103*y**2 - y + y. Let r(g) = -2*g**2. Determine r(s(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = o - 4*t, -4*o - t + 37 = -59. Solve 0 = 2*s - m + 4*m + o, 0 = -2*s + 2*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 6*o - 9 - 11.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27856982 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/6 + 404*y**2 - 467103*y\/2 - 13816089.\nAnswer: -(y - 1239)**2*(y + 54)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26472)\/(-1840) + -14 + 9\/(-30)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of -m**6\/180 + m**5\/60 + m**4\/72 - m**3\/18 + 7*m + 2. Determine o so that d(o) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 12*z. Let d(a) be the first derivative of -6 + 0*a**2 + 0*a + 2\/3*a**3. What is o(d(j))?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(143) + sqrt(143) + (sqrt(143) - (sqrt(143) - sqrt(143)*2*5)))\/(1*-2*sqrt(11)).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*c - 31*c - 14 = 0. Solve c = -3*g - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 131 + -95. Calculate the greatest common factor of c and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -7) + -15 + -14 + (-1 - -4 - 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 4, -12, -67, 0, 1 in descending order.\nAnswer: 11, 4, 1, 0, -12, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, s: 2, m: 2, g: 4, q: 4, c: 2}. What is prob of sequence cqsm?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -10*w**2 + 39*w - 11. Let p(v) = -28*v**2 + 116*v - 32. Let j(t) = 17*d(t) - 6*p(t). Does 9 divide j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -319*o - 526 = 216*o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1)*p\/(p\/(p\/p**(-3\/4)*p)*p))\/(p**(-6)\/p**(-3\/11)) assuming p is positive.\nAnswer: p**(285\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, s: 13}. What is prob of sequence lss?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1788627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4751840, -4751838, -4751836, -4751834, -4751832?\nAnswer: -4751830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20*c*r**3 - 10*c*r + 11*c - 15*r**6 + 2*r**2 wrt r.\nAnswer: 120*c - 1800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/((w\/((w**4\/w)\/w))\/w)*w*(w*w**8)\/w)\/(w*(w*w*w*w**(-2\/3)*w)\/w)**15)\/(w**0\/w*(w*((w\/(w*w\/w**5*w))\/w*w)\/w*w)\/w)**(-2\/49) assuming w is positive.\nAnswer: w**(-1809\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 226816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fsfs when four letters picked without replacement from faaaasasf.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 11 = -h, 5*d + 3 = -h + 2*d. Suppose -h*r + 25 = c, -4*r + 23 = -r - c. Is 6 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13a - 17d10d?\nAnswer: -17cdb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -133 divided by -133.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 20.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 3*l = -8 + 2, -5*l - 15 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-1 + (-4 + sqrt(637))*1*5)*1)**2.\nAnswer: -1470*sqrt(13) + 16362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2580, -5149, -7730, -10323, -12928, -15545?\n\"Answer: -6*b**2 - 2551*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*y = -5*c + 27*y - 15, -2*c + 5*y = 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*-6)\/(-2)*10\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17845910 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 235080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d*d**2\/d*d*d)\/d))**30\/(d**(-15)\/(d**(4\/11)*d)) assuming d is positive.\nAnswer: d**(-480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 178 + -131. What is the remainder when c is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -64*m**3 + 4192*m**2 - 2084*m + 260.\nAnswer: -4*(m - 65)*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2067)\/(-1638) - (-14)\/(-12)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*f - 26 = -0*h, -2*h - 2*f = -12. Suppose -4400 = -3*d - d. Suppose -d = -3*l - h*l. What is the greatest common divisor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**(2\/7))\/((m**(1\/6)\/m)\/m))\/(m**1\/m*m**2\/m))**(15\/2) assuming m is positive.\nAnswer: m**(445\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 56.1.\nAnswer: -168.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 3:20 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -23 - (-34 + 4) - 49\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - v - 160 = 0. Does 7 divide (-2 - 16\/(-10))*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51840\/(-162)*23\/115?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 3, 299, 1, -42, -81.\nAnswer: -81, -42, -4, 1, 2, 3, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 9738*g**2 + 162*g + 36570. Let z(v) = 749*v**2 + 12*v + 2813. Let w(j) = 2*d(j) - 27*z(j). Differentiate w(f) with respect to f.\nAnswer: -1494*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 97, 81, 51, 1, -75, -183, -329, -519?\n\"Answer: -k**3 - k**2 - 6*k + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3898315 is divided by 12415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/351405 and -12\/35.\nAnswer: 2459835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 82650 and 33847930?\nAnswer: 507718950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 5 - 5 - 8*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 6*o - 12. Let s(z) = -z**3 + 13*z**2 - 17. Let a be s(13). Let q = a + o. What is q rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-29 + 19 - (-2 - -4))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4224?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 513, 513, 523, 549, 597, 673, 783, 933?\n\"Answer: p**3 - p**2 - 4*p + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h + 16. Let n be c(7). Suppose -y = n*y. Let r be 1 - (-1 + (-10)\/(-6)). What is the closest to y in r, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -146183952 divided by -6256.\nAnswer: 23367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8172a8 (base 11) in base 14?\nAnswer: 262582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, 3, -3, -54, -34 in decreasing order.\nAnswer: 3, -2\/15, -3, -34, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -6*v + 32 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5703.\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9674 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**8\/2520 - s**7\/840 + s**6\/360 + s**5\/180 - 5*s**3\/3 - 22*s**2. Let o(k) be the first derivative of v(k). Factor o(h).\nAnswer: -h*(h - 1)*(h + 2)*(2*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.2314 + 5508.7686. Let u = -5524.794 + b. Let r = -14.4 - u. What is r rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-4))\/((-4)\/(32\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s - 3. Let p be y(-5). Find the common denominator of (-114)\/(-9)*2\/8 and 3\/(-66) + (p - 2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + -3. Let m(x) = 4*x**3 + x**2 - 3*x - 8. Let u be m(g). Let a = u - -352. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -5*g**3 + 100*g**2 - 95*g = 0.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182628.\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ngsssbnbsbgbssssb. Give prob of picking 2 s.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -730, -3140, -7156, -12778, -20006, -28840, -39280?\n\"Answer: -803*n**2 - n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t + 20*t = 28427. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/252277756 and -81\/1257388.\nAnswer: 2775055316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 4*z + 20, -3*z - 4*s - 182 = -188 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o - 126 + 2*o**2 - 160 - 8*o.\nAnswer: 2*o**2 - 7*o - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8595.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 - 14. Let o(s) = 2*s**2 + 7*s - 4. Let y be o(-4). Let m be 2\/4*(-3 + (y - -3)). What is q(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6350808517*f - 6350808539*f + 2 - 2.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0072244 rounded to 4 decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 17 = -2*y, 0 = -331*h + 317*h + 3*y + 138 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.68 - 0.12. Let c = i - -2.856. Let k = -0.0484 + c. Round k to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k - 4*x + 7261 - 7241, -2*k + 2*x - 21 = -5 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 + -60. Let -4*f**5 - 19*f + 24*f - 7*f**2 + s*f**3 - 1 + 8*f**4 - f**3 = 0. Calculate f.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 5 - (-17 - (12 - 22) - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.461 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (((-858)\/(-42))\/13)\/((-10)\/2*(-39)\/(-1365))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((((-325)\/78)\/(-25))\/(-1))\/((-1 + 0)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30*g**5 + 2*g**4 + 85*g**3 - 3*g**2 - 2*g - 53?\nAnswer: -1800*g**2 + 48*g + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/8)\/(4 - 19\/38)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17929.\nAnswer: 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -195127994*u + 60714747.\nAnswer: -195127994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -77 + 79. What is the common denominator of (-3567)\/(-1848) - d - (-8)\/28 and -75\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -494 + 594. Differentiate -3*d**2 - 4*d**2 + q - 118*d - 29*d - 47 + 6*d**2 with respect to d.\nAnswer: -2*d - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1954692 != -1954692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 166412366 and 22?\nAnswer: 1830536026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/(-14)*1652\/(-288) and 151\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 470*b**2 - 963*b**2 + 454*b**2.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -92 - -84.2. Let l = 8 + h. Let k = 5.4 + -5. Which is the closest to 1\/4?  (a) l  (b) k  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -1094, -4005, -2\/7 in increasing order.\nAnswer: -4005, -1094, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21 in 0.42, 5, 2\/11, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 5\/94, -0.2, 1.5, -2\/11?\nAnswer: 5\/94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1*sqrt(425) - sqrt(68)\/sqrt(4)*3)**2 + (sqrt(34) + (2*sqrt(238))\/sqrt(7))\/(sqrt(8)\/sqrt(4)*2).\nAnswer: 3*sqrt(17)\/2 + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/1476 and 89\/28782.\nAnswer: 57564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14 - 7*w - 14)*(3 + 2 - 3)*(3 + 0 - 1)*(1 + 1 + 5) to the form z + i*w and give i.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 6*q**2 + 7*q + 7. Suppose 27*a + 51 = -57. Determine p(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -2 - (-8 + 11 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 610 + 7653. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r. Suppose 2*i + 19 = 3*q, 3*q - 7 + 2 = -5*i. Let d be (2\/4)\/((-1)\/(-8)). Let u(b) = q*b + b - d*b. Determine z(u(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-5*y + 4 - 4) + 2*y + 3 - 3.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 9:41 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008)*-1 - sqrt(21)\/(sqrt(3)*2).\nAnswer: -25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -118, 60.11, 0.049 in increasing order.\nAnswer: -118, 0.049, 60.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29.4 + 30.7. Which is greater: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than or equal to -286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007144 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112311 (base 4) to base 3.\nAnswer: -2000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 - 81*a**2 - 1100*a - 1488. Let s be q(93). Let o = -6 + 9. Put -13, o, s, 5 in increasing order.\nAnswer: -13, s, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -6, 10 in descending order.\nAnswer: 10, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1913 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.977541ns in milliseconds?\nAnswer: 0.000002977541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -0.0308?\nAnswer: -0.00616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*j - 170*j = -106*j + 126*j - 21546 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60862 = -1131*r + 31599 - 46514 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 816480.9cm in meters?\nAnswer: 8164.809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2412 (base 16) to base 9\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -232500 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 - 2*f + 2*f**4 + 38*f**5 + 2 + 4*f**3 - 40*f**5 + 0*f**2.\nAnswer: -2*(f - 1)**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 2:25 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 52*y + 464. What is the remainder when 1103 is divided by q(-8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -26\/7?  (a) -3  (b) 0  (c) 3  (d) 2\/573  (e) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g**2 + g. Let c be 1*8*(4\/(-8) + 3). Let j be (c\/(-40))\/(1\/2). Calculate the lowest common multiple of 2 and l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 - -39. Suppose -4*g = 5*x - 47, -3*g + 0*x - 5*x = -39. Let i = z - g. What is the remainder when 21 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3641.625 hours in minutes?\nAnswer: 218497.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -30*o**2 + 20*o + 3265. Let j(x) = -88*x**2 + 59*x + 9801. Let q(t) = 3*j(t) - 10*k(t). Find the first derivative of q(b) wrt b.\nAnswer: 72*b - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.07 and 79.\nAnswer: -5.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -54.2, 0.3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 1:18 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5948*w - 7303.\nAnswer: -5948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -974 - -1137.4. Let n = -250 - -108. Let b = n + z. What is b rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118377 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-9)\/6)\/(17*60\/680)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2. Let h(d) = 2*d + 3*d - 2*d. Let s(j) = -2*j. Let l(q) = 6*h(q) + 7*s(q). What is w(l(k))?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-19 - ((-17 - -5) + 15)) + 17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjhjjjj. Give prob of sequence jj.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*1*sqrt(77) + sqrt(77) + (sqrt(77) + sqrt(77) + -2*sqrt(77))*1)\/((2*sqrt(1008) + sqrt(1008) + sqrt(1008))*-5).\nAnswer: -sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 divided by -7?\nAnswer: -61\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/2))**(-17\/4)*c**(-3\/7)\/(c*c\/(c\/c**4*c*c)*c*c) assuming c is positive.\nAnswer: c**(-423\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 94313 and -5.\nAnswer: -471565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n\/n**(2\/67)*n))\/(n*n**(-37\/5)\/n))**(12\/13) assuming n is positive.\nAnswer: n**(21828\/4355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2707706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/2*2*(-41 + 1). Let i = g - -39. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0203 and -48.1?\nAnswer: 48.1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -68*r**3 - 2*r**2 - 2*r - 1. Give h(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 688487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -369201, -739164, -1109113, -1479042, -1848945, -2218816?\nAnswer: -2588649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3306848 is divided by 413298.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/5 - (-44)\/10. Let x be w\/(-14) - (-3 - -3). Let t be (4 + 50\/(-20))\/(6\/8). Which is the fourth smallest value?  (a) t  (b) 0.3  (c) x  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 - -18. Suppose 138 + 0 = r*m. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13454725 to the power of 1\/2, to the nearest integer?\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 2) + 1 + (-4 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -20278924426273?\nAnswer: 20278924426276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -41, -7, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + z)*(1 - 2 - 1) + ((3 - 9 + 1)*(9 - 5 + 3) + (3 + 2 - 4)*(-5 + 1 + 1))*(0 + 2*z + 0) + (-2 - 5 + 5)*(-z + 2*z + z).\nAnswer: -82*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of u**6\/12 - 17*u**5\/30 + 4*u**4\/3 - 4*u**3\/3 - u**2 + u. Let a(o) be the first derivative of p(o). Find m such that a(m) = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {y: 1, i: 3, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*(v\/(v\/v**(1\/16))*v)\/v)**(-8)*v**(1\/55)\/(v\/(v*v**41\/v)))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16*24\/(-1152))\/(-1*(-65)\/75).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198 = -81*f + 63*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 57.\nAnswer: -1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10640 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of 0*p + 0*p**4 - 1\/2*p**2 - 2\/5*p**5 + 3 + 2\/3*p**3 + 1\/6*p**6. Factor c(b).\nAnswer: b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 - 4*r**2 + 4*r - 5. Let z be h(-5). Solve -5*g + 2*g**2 + 2 + z*g**2 + 3*g - 6 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 51*v**2 + 87*v - 173. Is f(-53) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 207?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 t when four letters picked without replacement from ptftttfp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 81c - 4?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 81 + -76. Suppose 2*z = n*z - 3. Let c(q) = -7*q**3 + 8*q**2 - 9*q - 13. Let f(m) = 2*m**3 - 2*m**2 + 2*m + 3. Let d(a) = 2*c(a) + 9*f(a). Give d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -412, 37, 2046, 6395, 13864?\n\"Answer: 130*f**3 - 461*f - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.71 less than 1.8?\nAnswer: -5.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-25)*420\/(-378)*(13 + -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xfkwxffdff. Give prob of sequence df.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v**3 - 14*v**2 + 5*v + 3. Let w(c) = -10*c**3 + 44*c**2 - 16*c - 10. Let z(i) = -16*g(i) - 5*w(i). Calculate z(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 991 and 28739.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3 - 2*r + 3*r**5 - 4*r**2 + 2*r**4 + 7*r**5 - 15*r**5 + 2 + 3*r**5.\nAnswer: -2*(r - 1)**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 16*x - 205. Let b be k(13). Let p(o) = 96*o**2 + 56*o. Let v(h) = 5*h**2 + 3*h. Determine b*p(t) - 56*v(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -215026136 (base 7) to base 14\nAnswer: -1a10ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4*-195616\nAnswer: 782464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 56  (b) -0.07  (c) -2\/3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22119.\nAnswer: 3, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4063)\/(-170) - 9\/(-15) - (6 - -2).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*104)\/(572 - 589 - ((-30)\/(-2))\/(-1)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 144 - 139. Suppose 0 = -8*a + t*a + 36. Suppose -11*j + a*j = 2. Calculate the lowest common multiple of 15 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 354207*o + 1062623. Determine m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 8:22 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1020 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in 3, -4, -0.338943?\nAnswer: -0.338943","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 70 + -54. Calculate the smallest common multiple of 12 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10463, 10478, 10503, 10538, 10583, 10638, 10703?\nAnswer: 10778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 570 = 114*v - 188*v - 762 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 10976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 100788782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -30013344 (base 5) to base 12\nAnswer: -b432a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.44 - 0.34. Suppose -3*m + 2*o = 24, 0*o + 4*o - 42 = 5*m. Let v be (1\/m)\/(1\/(-8)). Which is the smallest value?  (a) 0  (b) n  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1097 is divided by 543?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -x**5 + 35219283*x**3 - 133050940*x**2 wrt x?\nAnswer: -60*x**2 + 211315698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2 - -39 - (4 + (-2 - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17 in 2\/3, -0.11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -x - 4*x. Let h = 3 + 0. Let b(g) = -g**2 + 4*g**2 - 2*g + 4 - g**3 - 3*g**2 + h*g**2. Give b(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + sqrt(176) + -1 + 4 + sqrt(11)*-1.\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from brlbblk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 336566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 2*c**2 - 18*c - 27. What is the units digit of h(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.40767 times -14.6?\nAnswer: -5.951982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -6*(sqrt(99)\/(sqrt(9) - sqrt(36)))**2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1349 - -2686. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/j**(-5))\/j)\/(j\/(j\/(j**(1\/2)*j)*j)))\/((j*j**7)\/(j**(-4)\/j)) assuming j is positive.\nAnswer: j**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 + -255)*(-8)\/28*(-89)\/(-356).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/36 and 11\/48210.\nAnswer: 289260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 - 26*z + 15. Suppose 8*r - 7*r - 13 = 0. What is the remainder when 89 is divided by t(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 2*s + 4*s)*(5 - 2 - 1)*(2 + 3 - 6).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4113 - 155012?\nAnswer: -150566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 93.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4222 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(0 + 1 + 1 + (1 + 5 - 4)*(-3 - 2 + 2))*(-18*i**2 + 8*i**2 - 18*i**2).\nAnswer: 224*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1388 = 505*z - 5582 - 21561. Let v = -13 + 32. What is the remainder when z is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -745 - -0.0844.\nAnswer: -744.9156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/11  (b) -5  (c) -0.08  (d) -0.3326  (e) -41  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/15)*(t\/(t**(1\/4)\/t))\/t)**(2\/97)*(((t**(2\/5)*t)\/t)\/t**4)\/(t\/(t*t**5*t)*t**4\/t) assuming t is positive.\nAnswer: t**(-1709\/2910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooobbbbobobb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -21.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22772656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 128*n + 263*n - 128*n)*(-n + 3*n - 8*n**2 - n**2) in the form i + u*n + t*n**2 + q*n**3 and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 8. Is 8 a factor of -2 + 5 + d - -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19618448.\nAnswer: 2, 23, 89, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -15*j + 39. Put j, 28, 5 in descending order.\nAnswer: 28, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129401563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4220707239.\nAnswer: 3, 7, 41, 467, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06228535 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eecyjc. Give prob of picking 1 j and 2 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in 4, 1\/7, 2\/3, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -859 at most -503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 54*s**4\/13 - 37988*s**3\/13 + 1919832*s**2\/13 + 3382824144*s\/13 - 46202032960 = 0.\nAnswer: -8060\/27, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 0 + 2 = 0. Let n be ((-2)\/2)\/(t\/3). What is the third derivative of -3*z**3 - 3*z**5 + z**2 - z**3 + 4*z**n wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5525, -5524, -5523, -5522, -5521, -5520?\n\"Answer: f - 5526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*t**2 - 21 + 9 - 24*t**2 + 13 - 52*t**2 to n*t**2 + h*t + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1320\/2112 + 2\/(-8). What is the third biggest value in -5, o, -3\/4, 11\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 5*t**2 + 6*t - 9. Let c be m(6). Let o be (3 + 0)\/(c\/(-6)). Suppose -5 = -n, -3*n = -5*h + o*n + 240. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u + 5*u + 3*a - 394, 402 = 5*u - a. Let w = u - 184. Let b = 175 + w. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 2*l**2 + 7*l. Let u be o(3). Let g = u + -17. Solve -3*x + g - 1 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 5*u + 3*k, 124*k = -35*u + 12*u + 127*k + 43 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 5*f. Let i(k) be the third derivative of 0*k + 12*k**2 + 0 + 1\/15*k**5 + 0*k**4 + 0*k**3. What is r(i(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -12301302120300?\nAnswer: -12301302120231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 5 - (5117102\/319821 + -12). Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v - 13 = -20*v + 3*n, 0 = 4*v + 4*n + 8. What is the nearest to 1 in 3, v, -340?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 15, 3*q - q = 2*n + 24. Let b = q + -16. Let s be (-3 + 5)\/(-1) - b. Which is greater: s or -11\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 2*n = 38, -5*n - 15*n + 14*n - 593 = 152*q - 7*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aara when four letters picked without replacement from {r: 2, a: 10}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 253*q**2 + 12*q - 46. What is the thousands digit of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 + -14871958446?\nAnswer: -14871958538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62370*p + 1610 = -62347*p. Solve 3*i + 62 = 2*k + p, 0 = -i + 5*k + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 8. Let g be b(6). Let s be (-1 + 2)*g\/6. What is the second biggest value in 0.5, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3*u + 0*u = 114, 2*o = u + 58. Suppose 4*v + 41 = 3*r, 5*r - 713*v - 83 = -710*v. What is the remainder when o is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -5297?\nAnswer: -5296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/4 - (55\/20)\/(-11). Solve 358*j - 361*j - 3 = g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6665 is divided by 96?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 3*y - 20. Suppose 0*q + 4*q - 14736 = -u, -y*q + 3*u = -14720. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -148*r - 144*r + 302*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (0 + sqrt(2448))*-3 + sqrt(2448) + sqrt(2448) + sqrt(2448) + (sqrt(2448) - (sqrt(2448) + -1)*5))**2.\nAnswer: -960*sqrt(17) + 39268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 81 = -3*h - 67, -5*k + 2*h - 15 = 0. Put -5, 69, k in decreasing order.\nAnswer: 69, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -79*(-1692)\/135 - 4\/30.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -147458772.12 to the nearest ten thousand.\nAnswer: -147460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0 = 2. Let b be (0 - f)*(1 - 0). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 0.02, -210?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -211 + 382. Suppose 63 = 3*i + u. What is the common denominator of i and -50\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-18)\/4 - -2)*-4. What is the remainder when 6*3*22\/12 is divided by (0\/4 - -2) + s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 223589, 447176, 670763, 894350, 1117937, 1341524?\nAnswer: 1565111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, u: 12, w: 5}. What is prob of sequence wu?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 131743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1347, -3241, -5145, -7065, -9007, -10977?\nAnswer: -12981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*k**2 - 2*k + 4*k - 2*k - 10*k**3 wrt k?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74 divided by 179.\nAnswer: 74\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - i = -2*n - 5, -20 = n - 4*i. Let q = 2544 - 2541. Solve n = q*y - 5*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**5\/5 - 27*d**4\/5 + 9*d**3 - 21*d**2\/5.\nAnswer: 3*d**2*(d - 7)*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 136, 205?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + 4*y**2 + y - 2. Let f = 2 - 0. What is the remainder when -2 + (f - -1) + 5 is divided by g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + j + 1. Let o(w) = 5*w**2 + w + 7. Calculate 6*k(c) - o(c).\nAnswer: c**2 + 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6570548 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -120 + 168. What is the units digit of 2\/1 + 13 + j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cffcfcf. What is prob of sequence fff?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63\/3 - (-382 + 419).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 108*r + 424. Calculate g(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -16052, -32116, -48194, -64292, -80416, -96572, -112766?\n\"Answer: -o**3 - o**2 - 16054*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -111101 + 130130?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**4*s*s)**(-36))**27*(s**(2\/15)\/((((s\/(s*s\/s**12*s))\/s)\/s)\/s))**(2\/39) assuming s is positive.\nAnswer: s**(-206\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 - 5. Suppose 2*m = 1 + k. Solve x = -m*c + 1, 4*x + 0*x = -4*c + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {q: 1, p: 1, g: 1, j: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(1 + (-9)\/6). Let l = -135396 - -135402. Solve -2 + l = -x*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/21 in 0.4, -366, 0.03, 6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*2\/4*2. Suppose 3*j = -y*j + 9. Solve -j*n - m - 9 = 0, -6*n + 4*n + 8 = -4*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -6d?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gmhmgxhhhymhq. What is prob of sequence yh?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 5*o**3 - 105*o**2 - 4125*o - 26015 = 0?\nAnswer: -11, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -14144248, -56576982, -127298206, -226307920, -353606124, -509192818?\n\"Answer: -14144245*x**2 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10775?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*j**4 - 3*j**2 + 8*j**2 + 2*j**3 - 3*j**2 + 12*j**4 as f*j**4 + l*j**3 + h*j**2 + t + y*j and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 95 + -67 + (-2 - 37)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/7 - 678002*c\/7 - 32539488\/7.\nAnswer: -2*(c + 48)*(c + 338953)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 100*p**3 + 2*p**4 - 194*p**3 + 4*p**2 + p + 96*p**3 + p + 0*p**4 in the form o*p**2 + w + b*p + f*p**4 + a*p**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/21?  (a) 1\/9  (b) -3\/2  (c) 0.6  (d) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 - 2*y**2 - 11*y - 3. Let i(c) = -c**3 + 2*c**2 + 12*c + 4. Let o(v) = 6*i(v) + 7*m(v). Let k = -3 - -4. Suppose d = k + 2. Calculate o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2668 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 162891 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 728 = 3*m + 1339, v = -4*m + 1039. Let i(l) = l**2 - l - 5. Calculate the remainder when (2\/6)\/(5\/v) is divided by i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 164428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/(-10)*-3 - 24\/(-30). Suppose -9 - 6 = -5*o. Suppose 4*i = 3*h + 32, -m*i - 4*h + 9 = -o*i. Solve i = -4*u + 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6097707439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j = -20*j. Suppose j = -9*c + 10*c - 11. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -38*w - 567. Let k be p(-15). Solve k*v - 13 = -22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 8*z - 4. Let k be (49\/(-28))\/((-1)\/4). Let j be i(k). Suppose 6782 - 89282 = j*u. What is u rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*i - 4*i + i + (-1 + 2 + 1)*(-2*i - 2 + 2) - 116*i + 457*i + 379*i)*(-47 + 47 + 7*i) in the form p + f*i + h*i**2 and give h.\nAnswer: 5019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/18 - 14*242\/(-693). Solve x*w = -z - 8, 4*z + 3*w - 4 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - q - 2 = -2*x, -27 = -q - 5*x. Suppose -2*s - 3*c = -15, -9 + 1 = -q*s + 4*c. Suppose -2*v + s*v = 3*f + 75, 3*v - 52 = -2*f. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -4. Suppose 3*n = 5*s + 28, 0 = 2*n + z*n - s - 26. Suppose -2 = q - n. Solve -4*i - 1 = 5*g, 2 = q*i - g - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 13242, 54177, 122396, 217893, 340662, 490697?\n\"Answer: -b**3 + 13648*b**2 - 2*b - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 4*a. Suppose 4*c - 12 = -2*v, v = 6*v + 4*c - 24. Let r(g) be the second derivative of 0 + 0*g**2 + v*g - 1\/3*g**3. What is n(r(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**2 - r + 2. Let t be a(0). Suppose t*u - 29 = -5*b, 0 = 2*b - 6*u + u. What is the units digit of b*(-8)\/260 - 4008\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 - 1)*(2*l**3 - 2 + 2) + (-1 + 6 - 3)*(2*l**3 - 4*l**3 + l**3))*(-3 + 1 - 2)*(5*l - 4*l - 4*l).\nAnswer: -96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 4*b = 12. What is the second derivative of 3*q - 4*q**5 - b*q - 3*q wrt q?\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 + 201. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 22121 + -3?\nAnswer: 22116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 152 = 4*p + 4*p + 12*h - 68*h + 27*h, -p - 7*h + 19 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) 2  (c) -113  (d) -4\/5  (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 8:05 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/11?  (a) 0.4  (b) -1\/3  (c) -1\/8  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/13)\/(m\/m**(-2\/13))*m\/(m\/m**(4\/3))*m*m\/(m\/(m*(m**3\/m)\/m))*m assuming m is positive.\nAnswer: m**(160\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/585 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.1 - -0.1. Let g = f - -1.4. Let j be (-16 + (-452)\/(-28))*-1. Sort g, 4, j in increasing order.\nAnswer: j, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22185987.\nAnswer: 3, 31, 191, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + s**2 - 2*s + 2. Let p(x) be the first derivative of -3*x**4\/4 + x**3 - 5*x**2\/2 + 5*x + 6. Let h(l) = 5*a(l) - 2*p(l). Factor h(y).\nAnswer: y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37527 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4530.\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 616.0004 - 611. Let g = v - 5. Round g to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - 7*s**2 - 253. Determine t(0).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3642119983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + 12*s - 24. Let g be l(-14). Suppose 8 = 4*h - 4*d, 0 = d - 0 + g. Let z = 0.293 - -0.007. Which is the nearest to 1?  (a) -3  (b) h  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35552947 or -35552949?\nAnswer: -35552949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -3\/7  (b) -0.2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1203052*g**5 - 2828788240*g**4 + 2218092870312*g**3 - 580730141312208*g**2 + 578514876027084*g = 0.\nAnswer: 0, 1, 52491\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 divided by -127726.\nAnswer: -29\/127726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y + 21. Let f be 15\/(-4) + 2\/(-8). Let i be f*(-4)\/8 + -7. Let q be m(i). What is the second smallest value in -0.3, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 350648 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*z - 4*z - 2*z + 53 + 177 + 75 as r + c*z and give r.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-734136)\/(-2))\/13 + 24 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 16 = -3*k, 6*i = 2*i + k - 22. Calculate the common denominator of (534\/(-24) - 2)\/i and (-73)\/(-4)*(-8 + 7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194421531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -14, -48, -116, -230?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 2*c**3 + 2*c**3 + 9.\nAnswer: 4*c**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34 * 1.863.\nAnswer: 63.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -7*z**3 + z. What is the units digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + 15 + 1 + (1 - -21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11328, 22654, 33978, 45300, 56620?\nAnswer: 67938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + 12303320332?\nAnswer: 12303320332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b + 0*b + 0*b)*(3*b**4 - 9*b + 9*b).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/6*4041\/898.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 12, 4*z + 4*r = -z + 732. Let k be z\/210 + 2\/(-7). Solve -k - 2\/5*f**3 + 2\/5*f**2 + 2\/5*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 5. Let r be 34\/9 - z\/(-9). Sort r, -1, -3.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27170902.\nAnswer: 2, 11, 1235041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-60)\/(-40)*(-8 - -9850)?\nAnswer: 3, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 268*q**3 + 5*q**2 - 25*q - 61. Is c(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 1383078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 35*f**3 + 3*f**2 + f + 6. Let j be g(3). Is (-2)\/4 - j\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 1\/4  (b) 0.3  (c) -465735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-1\/2))**(-9\/11)*j**(2\/11)\/j**(-2\/19) assuming j is positive.\nAnswer: j**(-51\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -z**7\/1470 - 29*z**6\/420 + 59*z**5\/420 - 2*z**2 + 608*z - 3. Factor n(x).\nAnswer: -x**2*(x - 1)*(x + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 59, 80, -778 in ascending order.\nAnswer: -778, 59, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 75\/3164 and -121\/908604?\nAnswer: 718705764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-25495)\/340 + 54150\/722\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3726464429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17129 and 34302046.\nAnswer: 240114322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**(-4\/11))*u)\/(u*u*u\/u**(-1)))\/((u*u**(-8\/3))\/u**5) assuming u is positive.\nAnswer: u**(133\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -4\/5, 0.2, 5 in descending order.\nAnswer: 5, 0.2, -4\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18.432 + 16.432. Let d = 3.7 + -0.7. Sort -13, w, -0.2, d in ascending order.\nAnswer: -13, w, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-35 - -38)\/(6\/8). Solve h*z + 11 = 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 393*x**4 - 2775*x**3\/4 + 1221*x**2\/4 - 9*x\/2 = 0. What is x?\nAnswer: 0, 2\/131, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -10, 5, -340, 0?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**2 - 5. Suppose 4*g = -2*i + 24 + 6, 24 = 2*g + 4*i. Suppose g = 24*x - 21*x. Let v(w) = w**2 - 2 - w**x - w**2. Give -2*q(p) + 5*v(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 655, 0.2, 4 in descending order.\nAnswer: 655, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.28383278 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w - 6. Let b be g(-5). Suppose 7*u - 237 = b*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3374 smaller than -3755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-227*a - 245*a - 193 + 193)*(-2 + 3 - 2).\nAnswer: 472*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3603 + 3603. Let r be -26*9\/(-2) + 0. Is (1 - z)*(r + 15) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1236.8 - -1237. What is the biggest value in 19\/2, 0, b, -0.1?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 + m - 3. Let v be p(-4). Suppose -4*l + 7 = -v. Suppose l*x - 4 = 0, f + 3*f + 9 = 5*x. Is -2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**2 - 826*s - 5 + 13*s**2 - 6783*s - 8*s**2.\nAnswer: 3*s**2 - 7609*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Is 447 a factor of 20906100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35627597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o = 17*o - 12. What is the highest common factor of o and 234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -86 + 0*k**4 + 1\/2*k**3 + 3\/2*k**2 + 2*k + 1\/20*k**5. Give x(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12173, 24347, 36521, 48695?\n\"Answer: 12174*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b + 7*b**3 - 6*b**3 - b**2 + 2*b to the form o*b**2 + z + q*b + k*b**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.9262516 to 2 dps.\nAnswer: 9.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 160 - 159. Suppose -3*m + 38 = -2*u - 5*m, -5*u - 87 = 3*m. Let n = u + 17. Put x, n, -4, 4 in descending order.\nAnswer: 4, n, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 5 - 2. Let b be 1\/(-1 + 122\/120). Let g = -43 + b. Solve 0 = 4*u - d + g, -11 = 2*u + 2*d - k*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 less than -2059?\nAnswer: -2058.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(29\/(-7) + (-2 - -6)). Suppose 0 = -4*q + j + 463, q - 8*j + i*j = 118. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8084605.\nAnswer: 5, 17, 227, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 15*f - 43. What is x(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -4 - 2. Suppose -42 = 4*l - 58. Sort l, t, -4, 12 in decreasing order.\nAnswer: 12, l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 4, 1 in descending order.\nAnswer: 18, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*m - 23*m - p = 3, -4*p = -5*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 417819.\nAnswer: 3, 139273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 74. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -3*o**2 - 7*o + 1. Let i be s(-5). Let g = -27 - i. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 2:33 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**3 - 22213428*k + 22213428*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.448565km in micrometers?\nAnswer: 3448565000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2.6, 0 in decreasing order.\nAnswer: 0, -2.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 4*i + 2. Let j be b(3). Is (15\/(-6))\/(j\/2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*35\/14*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -5215\/59 at least -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p**7\/12 - 11*p**6\/15 - 15*p**5\/8 + 5*p**4\/12 + 23*p**3\/3 + 6*p**2 + 181*p. Solve o(j) = 0 for j.\nAnswer: -3, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/1*-3*4\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001374 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 114 + -72. Calculate the remainder when l is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 39 - 19. Suppose 0 = -0*w + w - f. Solve 0 = -2*c - 3*c - w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - -3. Suppose r*x = x. What is x rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 - 5*k**2 - 6*k + 3. Let a be r(6). Suppose -a*m + 10*m - 245 = 0. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 AM and 7:45 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dln when three letters picked without replacement from {l: 2, i: 6, g: 4, z: 2, n: 1, d: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v - 57 - 4*v + 5*v - v.\nAnswer: 2*v - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*(-4)\/8)\/((-13)\/(-208))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 202 - -21?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -118, 65, 358, 749, 1226, 1777, 2390?\n\"Answer: -2*v**3 + 67*v**2 - 4*v - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.138 + 4.862. Let o = -0.1 - 0. Let i = 1.6 - -0.4. Which is the closest to o?  (a) f  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.043 and 0.062.\nAnswer: 0.064666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -2*m + 10 + 4, 5*m + 40 = 5*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 501 and 2478581769.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 46 = -2*u + o, 0 = -2*u - 5*o + 35. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*q - 3*q - 2*q)*(4 + 0 - 3)*(0*q + q + q) + (-5*q - 2*q - 3*q)*(-2*q - q + 2*q) in the form y*q + d + u*q**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**2\/8 - 17084911*y - 583788367755842 = 0. Calculate y.\nAnswer: -68339644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 106851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + z - 18 = 0, 1510*z = -3*x + 1513*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of z**3\/3 - 3*z**2 + 6*z - 4. Give t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -288, -413, -628, -939, -1352, -1873, -2508, -3263?\nAnswer: -4144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100100001 + -1010010010111001011001?\nAnswer: -1010010010111101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 132*p + 3891. Determine h(-41).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 216 = -5*b + 884, 0 = -5*z - 2*b + 5408. Is z a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c - 2 - 1 - 3*c. Let d(k) be the third derivative of k**4\/24 + k**3\/6 + 4*k**2. Let v(i) = -4*d(i) - z(i). What is v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -22, 7, 2, 1 in ascending order.\nAnswer: -22, -3, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1610377.\nAnswer: 1610377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10331 + -6631. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 0, -2*f + 0 + 6 = 3*j + 4*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -884 (base 10) in base 4?\nAnswer: -31310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 36140, 144573, 325318, 578381, 903768, 1301485, 1771538?\n\"Answer: h**3 + 36150*h**2 - 24*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 308 + -303. Suppose 4*a = u - 0*u - 13, -3*a - 4 = n*u. Sort -9, -14, -1, u in ascending order.\nAnswer: -14, -9, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l*l**1)\/l))**(-1\/12)\/(l**7\/l*l**(-10)\/l) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((8096\/2860)\/(-46))\/(4\/(-10))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**2 - b - 1. Let j = -4 - -8. Let r(t) = -2*t**2 - t - 1. What is j*z(n) - 3*r(n)?\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19401 - -30927. Does 102 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3217755 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b. Suppose 0 = 9*w - 10*w + 4. Let i(c) = 10*c - 10*c + w*c**2. Give i(t(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of g*m**3*z + 75*g*m - 26*g*q*z + g*q - 28*m**3*q*z + 2*m**3 + 5*m**2*q*z + 3*m*q*z + 3*q wrt g.\nAnswer: m**3*z + 75*m - 26*q*z + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/116 at least as big as -23\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -1546  (b) -1\/5  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of 5\/2*z**2 + 3*z + 6 + 2*z**3 + 1\/4*z**4. What is the tens digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 16404, 32807, 49210, 65613, 82016, 98419?\n\"Answer: 16403*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16939867 or 16939866?\nAnswer: 16939866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 174*j - 2979. Determine k(17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 51\/2 of a meter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 680 + 630. List the prime factors of g.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 367*p - 366*p - 4, 3*p + 30 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.6 in 0.05, -2, -6, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-2\/3))**(3\/11) assuming h is positive.\nAnswer: h**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2569771?\nAnswer: 17, 151163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17 is divided by (280\/98)\/(4\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -842, -249, 350, 955, 1566, 2183?\n\"Answer: 3*b**2 + 584*b - 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*1*-6 - 2*sqrt(77)*-1)\/((sqrt(1584) + sqrt(1584)*4)*-1 + sqrt(1584) - sqrt(1584) - sqrt(1584)).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is r in r**2 + 1054362*r + 277919806761 = 0?\nAnswer: -527181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 8:13 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1115*11\/3025 + (2 - 5 - (-42 + 35))?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffxx when four letters picked without replacement from {u: 7, f: 3, x: 3}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -370 - -456. What is the greatest common factor of 1118 and o?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-12))\/(20\/(-15))*13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3 - 1.3. Let s be ((-7)\/8*2)\/(2\/(-72)). Let m be s\/49 - (1 + 0). Which is the nearest to r?  (a) m  (b) 5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 749 + -749.17. What is the nearest to b in 1, -5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 261751 or 1046999\/4?\nAnswer: 261751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 a, and 1 o when three letters picked without replacement from {o: 1, a: 1, v: 1, s: 3, f: 3, b: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 3.62?\nAnswer: 3.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -37*q + 1. Let k(x) = -2*x + 1. Calculate j(f) - 4*k(f).\nAnswer: -29*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1*10\/15*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 62.18656 micrograms?\nAnswer: 0.00000000006218656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -3. Is 17 a factor of 1\/(l + 142\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14 and -142941.\nAnswer: 2001174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) 2.4  (c) 0.5  (d) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 9:16 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) -4\/9  (b) -2  (c) -0.05  (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 1\/7, 0, 1\/5, 0.02?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 2:02 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10120, 9959, 9788, 9607, 9416, 9215, 9004?\n\"Answer: -5*r**2 - 146*r + 10271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 3*b**5 + 34374*b**4 + 1507215*b**3 + 6449868*b**2 - 249624180*b = 0.\nAnswer: -11414, -27, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 6 - (-34 - -52).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-54)\/(-45))\/((-2)\/830). Is c\/(-9) - 1\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 40 = -4*a. Let z = a + 3. Let m = 12 + z. Calculate the remainder when 20 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 858 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {u: 2, y: 2, x: 11}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i + 26*i + 19*i - 14*i.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 189595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7501*r**5 + 6*r**4 + 16*r**2 + 459310*r + 13 wrt r?\nAnswer: -150020*r**3 + 72*r**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p**(2\/5)*p))**(-24\/5)*(p**(2\/7)\/p)\/p*(p*p\/(p\/(p*p\/(p**(1\/3)*p))))\/p*p assuming p is positive.\nAnswer: p**(983\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11, -115, -243, -373, -505, -639, -775?\n\"Answer: -t**2 - 123*t + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5871\/46, -2\/5, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*u - 252 = 138*u - 3*l, 5*u - 3*l - 288 = 0. Calculate the highest common divisor of 1420 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5889 and 194350908.3?\nAnswer: 194345019.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150511?\nAnswer: 41, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 165*f**2 + 22*f + 94. Let t be k(-3). What is the highest common divisor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -0*n + 14. Suppose 2*g - n*w - 154 = -12*w, -3*w = 2*g - 162. What are the prime factors of g?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 1\/2, -4, 0, -0.142 in ascending order.\nAnswer: -4, -0.142, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 56.02 - -0.98. Let p = 29 - k. Let y = -28.18 - p. Which is the biggest value?  (a) -3  (b) -1\/8  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5 = 5. Let t(z) = -15*z + h + 0*z**2 - 1 - 6*z**2 + z**3. Is 17 a factor of t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50075432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201111000 + -22110102?\nAnswer: 102000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppwppkpwpwsppwwp. Give prob of sequence pk.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155918709.\nAnswer: 3, 5774767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 5*q + 1. Does 9 divide (20\/(-16))\/(q\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*f, -4*f - 75 = -3*a - 0*a. What is the lowest common multiple of a and 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120124088?\nAnswer: 2, 7, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.2  (b) -502\/3  (c) 11  (d) -1  (e) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 308\/(-105)*12\/(-8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 445 or 135303\/305?\nAnswer: 135303\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 485\/7819?\nAnswer: 485\/7819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 384 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148*q**2 + 253 + 248 - 2*q + 4830*q**2 - 501 - q**3.\nAnswer: -q**3 + 4978*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 + -12. Let x = -6 + s. Suppose -5 = -l, x*l - 27 = -2*f - l. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-65 - 0)*(-1 - 0). Suppose -233 - 79 = 4*j + 4*x, j + 4*x = -81. Let z = a - j. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - -3. Suppose -i = 2*d, d + 3 + 9 = 4*k. Let f be (-2)\/(-8) + 7\/4. Solve -f = -5*o - 5*p + 3, 26 = -k*o + 5*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 24, -11.\nAnswer: -11, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/((x\/(x**(-3\/7)*x))\/x))**25 assuming x is positive.\nAnswer: x**(450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11316935*f**5 - 14*f**3 - 210838*f**2 - 653*f wrt f.\nAnswer: -679016100*f**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*n + 12. Suppose -5*a + 5*h + 54 = -276, -n*a + 5*h = -262. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27741200 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146\/(-1387) + 35\/304*2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -295*c**2\/3 + 592*c\/3 - 4\/3 = 0. Calculate c.\nAnswer: 2\/295, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1682889557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/3  (b) 34  (c) -4  (d) 1  (e) -5.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 AM and 11:28 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2287380 (base 9) to base 4\nAnswer: -10232131212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31428287?\nAnswer: 11, 103, 27739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from knko. What is prob of picking 1 o and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**36*g*g*g*g\/(g\/(g**(-18\/5)*g)*g))**26 assuming g is positive.\nAnswer: g**(4732\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-234 - -240)*(3 - 0 - 62\/12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12416, -50349, -113794, -202751?\nAnswer: -317220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*m = 106*m - 26*m - 4512 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-146)\/1314)\/((-1)\/(258\/(-16))) and 6\/(-4) + 1645\/504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 - 17*t**2 + 37*t + 89. Calculate g(-18).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(325) + 0 - sqrt(325) - sqrt(325)) + 1 + 2 + sqrt(65)\/sqrt(5)*1.\nAnswer: -4*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 816520 (base 12) to base 15.\nAnswer: 29e3d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000756 rounded to 5 dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -54 - -54.01. Which is the third smallest value?  (a) 0  (b) z  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15210 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*v - 6741 = 294*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -1003231?\nAnswer: -1003223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-4*(5*(sqrt(847) + 1) - sqrt(847)) - (-3 + -3 + (sqrt(847) - (sqrt(847) + 1)) + sqrt(847))))**2*6.\nAnswer: 116688*sqrt(7) + 5878848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + -3*sqrt(153))*6)\/sqrt(2304).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -78*s**3 - 4*s**2 - 8*s + 6. Let q = -3 + 10. Let z be g(q). Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205514949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a - 30 - 30 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152*z = -664 - 856. What is the nearest to -1 in 15\/8, z, -5, 2?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -400c8?\nAnswer: 400c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -10 + 16 - (199529\/(-44) + (-6)\/(-8))?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {r: 1, t: 3, b: 1, i: 3, e: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*q = 0. Let c be 0 + 3 + (q - 1). Suppose -u - 3 = 3*r, -r + 3 = 8. Solve -5*o - u = -c*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34663, -34656, -34643, -34624?\nAnswer: -34599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1027768 nanometers in meters?\nAnswer: 0.0000000001027768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u + 4. What is h(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -55 - -773\/14. Let x = 6901\/3318 - 2\/237. Calculate the common denominator of z and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30 + -1211021?\nAnswer: -1210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 9. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**3 + 10*d**2 - 1000*d + 1920.\nAnswer: 5*(d - 12)*(d - 2)*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28368 - 72344. What is o rounded to the nearest 100?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u\/u**11*u)*u)\/(u**(2\/5)\/u)*(u*u**(-1\/9))\/(u*(u\/u**(-3\/13))\/u))**(6\/5))**(-1\/2) assuming u is positive.\nAnswer: u**(-6586\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -26a520 + -213?\nAnswer: -26a733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (7 + -1 - -2) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*i = 148 - 673 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 9*k**2 - 3. Suppose u + 16 = -5*j, -3 = u + 2*j - 2. Determine t(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-2)*1\/2. Let s(b) = 2*b**2 - b + 1. Let p(m) = -2*m**3 + 6*m**2 - 3*m + 2. Let w(j) = p(j) - 3*s(j). Calculate w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 17*o**2 - o + 1. Let i be q(1). Let h = 5 + i. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*c - 81 = 5*c. Let x(f) = -3*f**3 - 4*f**c + f**3 + 5 + 5*f**3. Calculate x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -4*g. Let x(q) = 5*q - 16*q + 5*q + 8*q. Determine o(x(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.54 * -0.05.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 14*u**3 - 7*u**2 + 43*u - 156. Determine a(4).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 150 = 110. Calculate the greatest common factor of v and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27279, -4, -1, -6 in descending order.\nAnswer: -1, -4, -6, -27279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffffffwffffwffff. Give prob of sequence ff.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3258, -6515, -9772, -13029, -16286, -19543?\nAnswer: -22800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 15475811?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/33 and -47\/108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 9:34 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 4*w**2 - 2*w + 1. Let h be z(4). Let a = h + 7. Is a > -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162063566 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14956*o - 14949*o = 357770. What is o rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 12) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + -1 - (-1 - 1). Let c be (2\/(-6))\/(x\/(-48)). Suppose -k - h + 9 = 0, -3*k - 1 + c = -2*h. Is 5 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -3.4  (b) -1\/10  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1070466 is divided by 39643?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21 + 25 - 12) + -16 + (6 - 3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 46330.89 millennia in centuries?\nAnswer: 463308.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.07223g in kilograms?\nAnswer: 0.01807223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -13, -6 in increasing order.\nAnswer: -13, -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1056536661 and 0.2.\nAnswer: -211307332.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*k + 59 + 25 - 48. Is -25.6 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 250.9 and -0.5.\nAnswer: 250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 2.5. Let b = x + 3.23. What is b rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-1)\/((-15)\/(-14)))\/(76\/95) and 187\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k + 4556 - 3556 = 0. Which is the third smallest value?  (a) 0  (b) 0.4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*a + 114*a - 67*a - 4086 = -768 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27128 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**2*q**3 + 93*m**2*q**2 - 8*m**2 + 3*m*q**2 - m - 120*q**3 + 6*q wrt m?\nAnswer: 2*q**3 + 186*q**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 AM and 10:14 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14054 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 4*v + 96, -5*v = -7 - 8. What is the hundreds digit of (-991)\/(-1) + (-30 - y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -1884\/7939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9.28 - 2.33. Let l = 7 - r. Which is the second biggest value?  (a) -5  (b) -0.5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 7859*l**3 + 2*l**2 + 2*l - 2. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 4*a - 2*a)*((1 + 4 - 3)*(3*a + 4*a - 5*a) + 2*a + 0*a - 3*a + 3*a + a - 5*a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/5, 3\/4, -118\/3, -1, 0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1445.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of s**5\/20 + 97*s**3\/6 - 98*s**2. What is the derivative of x(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9170010, -18340023, -27510036, -36680049, -45850062, -55020075?\n\"Answer: -9170013*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -334824 + 609551 = -59*f + 3661150. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-9)*-9 + (-61)\/(-21).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13\/6  (b) 1  (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (1 + 0 - 5 - (-260 - -263))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*y + 0*y + 73 = 5*k, 5*y - 16380*k + 16381*k - 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3513*n - 2 + 1 - 3504*n to b*n + d and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27087*q - 27150*q + 3000 - 366 = -1776 for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1011069031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5253.664 years to months.\nAnswer: 63043.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 65121*i - 18*i**3 + 65121*i - 12*i**2 as n*i**3 + f*i + z + q*i**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 10 = 4*x. Let p = -4 + x. Let k be -1 + (2 - -17) + 0. What is the greatest common factor of k and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 68 = 3*d + 2*d + 2*l, -7*l + 15 = -4*l - 6*l for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -10209.\nAnswer: -5\/10209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 93 * -0.12.\nAnswer: -11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**2 + 3*h**2 - 3*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2559 by -5.\nAnswer: -2559\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -198 + 200. Put -2\/15, a, 1\/3 in ascending order.\nAnswer: -2\/15, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -954*q = 9750 + 12192 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 6, -44, -2, 11 in decreasing order.\nAnswer: 11, 6, -2, -8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36*4\/84*(-2)\/12.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -830, -1643, -2398, -3065, -3614, -4015, -4238, -4253?\n\"Answer: 5*a**3 - a**2 - 845*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6000 + -54004\/9. Which is the third smallest value?  (a) t  (b) 7\/8  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 9*a - 14. Let u be o(6). Solve 16 = u*l + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 448.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-92)\/1840)\/(1\/4*-19). Which is the biggest value?  (a) -4\/3  (b) d  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -41*b**2 - 252*b**2 - 1305*b**2. Let f(r) = r. Determine f(c(s)).\nAnswer: -1598*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(264)\/sqrt(24).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -45, -207, -483, -879, -1401, -2055?\n\"Answer: -r**3 - 51*r**2 - 2*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2047, -2363, -2605, -2737, -2723, -2527, -2113?\n\"Answer: 6*w**3 + w**2 - 361*w - 1693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.9973489 litres?\nAnswer: 997.3489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of o**5\/10 - o**4\/6 - 2*o**3 + 2*o - 5. Suppose d(s) = 0. What is s?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i**5 - 879*i**4 + 7174*i**3 - 20936*i**2 + 25760*i - 11392 = 0 for i.\nAnswer: 4\/3, 2, 4, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 28 - -8 - 4 - -20) + -49\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 63 and 63 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 421?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j - 7. Let h(g) = g - 6. Let o = 27 - 24. Give o*h(a) - 2*q(a).\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/8 of a century in months?\nAnswer: 7650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -40.7 * -0.045.\nAnswer: 1.8315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 6*p - 2447 + 2421 = 0, 3*i = 29*p + 151 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u - 5. Suppose 21*s - 19*s = -10. Give r(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/105321 - 2913941\/3159630. What is the common denominator of (60 - -1)\/(-9 + 0) and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/13*t**3 + 0 + 0*t - 2\/13*t**4 + 18\/13*t**2.\nAnswer: -2*t**2*(t - 1)*(t + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -185 + 187. Let q be (-2)\/(-2) - (-1 - 0). Calculate the smallest common multiple of r and 86\/6 - q\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -129176652 + -97?\nAnswer: -129176749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*c + 268 = 0, -13*c + 17*c + 874 = 3*t. What is the highest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-9)\/(-2)) + -54 + (-237601)\/(-4410)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 + 3*r - 13. Let n be j(3). Let b(s) = -2*s - 1. Let k be b(-1). Let g = n + k. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 9*g - 3. Let k be b(-8). Let m(v) = 4700*v**2 + 29*v + 19. Let d be m(k). Round d to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -448 - -448. Suppose i = -v + 5*r + 602 - 235, -3*v + 4*r + 1156 = 0. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -5*s**3 - 27*s**2 - 28*s + 19. Let r(h) = -2*h**3 - 13*h**2 - 14*h + 10. Let x(g) = 3*i(g) - 7*r(g). List the prime factors of x(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 627*v + 8315 - 6072 = 28577 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -325  (b) 8\/7  (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -446 + 12*m - 3*m - m - 114 - 10*m.\nAnswer: -2*m - 560","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8316 + 8315.99978448. Round z to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4046*b**2 + 4005*b**2 + 4012*b**2 - 12063*b**2 - b**3 - 20*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-273)\/13468*222*(4\/30)\/((-3)\/120)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -273 + 270. What is the second biggest value in -18, 3\/5, 2, r, 4\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of 3*u**3\/2 + u**2\/2 + u. Let k be -4*2\/(-4) + 1. Does 14 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 = -5*x + 5*k - 17, -3*k + 12 = 2*x. Suppose -2*h + 0*h + x = 0. What is the remainder when (27 - -3)*9\/h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 7*q**2 - 13*q - 4. Let l be m(3). Suppose -5*w = -l, 0*w - 4*w + 22 = -3*v. Let k(d) = -4*d**2 - 3*d - 1. Determine k(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 13 = -6. Calculate the remainder when 75 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15677*k + 20596 + 258*k - 20596 to the form q*k + d and give q.\nAnswer: 15935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 51438  (b) -311  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -292 + 501. Let x = 209.000072 - w. What is x rounded to six dps?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-14))\/((-200)\/(-14000))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2251 or 3678?\nAnswer: 2251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 31506 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 89178 = 52417. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/9)\/((-3)\/(-18)). Solve -9 = -s*m + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8280 and 1323880?\nAnswer: 11914920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.3, 0.2, 3, 7, 0.04 in ascending order.\nAnswer: 0.04, 0.2, 1.3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 52 + -44 - -28 - 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2069 and 335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0020577 rounded to five dps?\nAnswer: 0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1)*(30*x**2 - 17*x**2 - 7*x - 11*x**2).\nAnswer: -4*x**2 + 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**3*w + 6*v**3 + 7615*v**2 - 771660*v*w - w wrt v?\nAnswer: 12*v*w + 36*v + 15230","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15 - -49?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 108893019907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6197 by 11.\nAnswer: -6197\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215615 is divided by 6735?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**2. Suppose -5*r + 7*r = 28. Let b(h) = 18*h - 33*h + 16*h. Let d(v) = -7*v**2 - 14*v. Let a(o) = r*b(o) + d(o). Determine a(n(l)).\nAnswer: -112*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2c1 (base 14) to base 10.\nAnswer: -561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 367 divided by 1319692\nAnswer: 367\/1319692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 58, 72, 66, 34?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2175)\/290*8*175\/(-42))\/(-2)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -93.78 or 0.4?\nAnswer: -93.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34.8 + -4609.2. Let l = b + 4620.904. Let i = 23 + l. What is i rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1168 and 38179.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 4 = 110*y - 115*y, -5*y - 6*u = 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7194110\/3 or 2398038?\nAnswer: 2398038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.202 + 2.952. Let s be ((-15)\/(-20))\/(3 - 0). Is q less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -52 + h + 6*h + 50. Is g(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -1\/6  (c) -5  (d) -26\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2943.7 + -2944. Which is the nearest to l?  (a) -67  (b) 2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 25414, 25438, 25478, 25534, 25606, 25694?\n\"Answer: 8*n**2 + 25406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1031231011 + -10?\nAnswer: -1031231021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87533244?\nAnswer: 2, 3, 810493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 25*d**2 + 24*d - 1. Let j be w(24). Let r be 8\/j + 172\/18. Factor 2*y**4 - 10\/3*y**3 - 2\/9*y + r*y**2 + 0.\nAnswer: 2*y*(y - 1)*(3*y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 15) to base 8.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3126 is divided by 241.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 7:25 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/960 and 97\/54?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2875.41 - 2914. What is x rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22181?\nAnswer: 41, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 846  (b) 4\/7  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56.58968174 - 56.589. What is v rounded to 5 decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 968 - 521?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 960*v - 2. Let j be x(1). Let r be (7 + 147221)*j\/(-6). Let g = r - 4292596. Round g to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 4218?\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-3)*(-180)\/(-25). Let p = -6 + c. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -95*j + 4. Let l be y(0). Solve 0 = 2*f + l*h - 14, 0 = -0*f + f - h - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/196 and -59\/20?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -178, -825, -1920, -3475, -5502?\nAnswer: -8013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7945911*x**3 - 1088534*x wrt x?\nAnswer: -47675466*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -317, 2, 2\/13, -146, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, r: 2, j: 4}. Give prob of picking 1 j and 2 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -58.6 + 9.6. Let o = 42 + b. Let f = -6.9989 - o. What is f rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.061 and 117.\nAnswer: -7.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.08 - 1.02. Let b = 3.61 - 2.51. Let p = b + c. Is 0.3 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c (base 16) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -359966*a + 1799836. What is u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3874*p - 258 = -3831*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5880 and 44580.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*s - 2*s. Suppose -s*q + 1398 = 3*f, -6*f = -2*q - f + 1382. Let i = q + -3796. What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.9 + -7.48. Let u = 10.58 - 11.36. Let r = u - h. Sort 0.5, 0.3, 5, r.\nAnswer: r, 0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2 - 54*p + 123*p**4 + 3*p**2 + 0 + 72*p**2 - 9*p**3 + 51*p + 17*p**2 wrt p?\nAnswer: 2952*p - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 37\/22  (b) 2  (c) 3\/32  (d) 0.3  (e) 4\/5  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*r**4 - 104676*r**3 + 2997607*r**2.\nAnswer: 144*r - 628056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -2*g**3\/3 - 83*g**2\/3 + 1037*g\/3 - 2860\/3 = 0?\nAnswer: -52, 5, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 10*t**2 - t + 2. Determine a(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x\/(x\/x**(-1)*x))**(-16)*(x*x**(-4)\/x)\/x*x**(-4\/7)\/x*x\/(x*(x**5*x)\/x*x)*x*x**(-3\/4)*x\/((x*x\/(x**(-8)*x))\/x)*x**4 assuming x is positive.\nAnswer: x**(-429\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 1506899437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.069?  (a) -3  (b) 21  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 73b9624 + -4?\nAnswer: 73b9620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.04 + -0.04. Which is the third biggest value?  (a) 0.3  (b) -5  (c) 0.1  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -19256*f + 770240. Determine r(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -643075 + 12?\nAnswer: -643063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 21 + -19 - (-306)\/(-135)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-138)\/115)\/(2\/(-10)). Solve 0 = -2*f - p*f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + 10*f + 41*f)*(15 + 6 - 11).\nAnswer: 480*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 - 82 = -19*x. Let t(w) be the third derivative of 5\/6*w**3 - x*w**2 + 0 - 1\/24*w**4 + 0*w. What is t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/(-11) + (-6)\/(-33). Suppose 0 = q*i - 5*d + 7, -i = -5*d + 8 + 3. Find the third derivative of -l**i + 3*l**2 - 4*l**2 - 3 + 3 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 260 = 3*w + w, 3*o = -5*w + 262. Let h = o + -55. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -899 + 903. Find c such that 0 + 8\/3*c**2 + 8\/3*c**v + 34\/3*c**3 + 0*c = 0.\nAnswer: -4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -179665*j**5 + 5708*j + 11.\nAnswer: -3593300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -91*g - 85*g + 179*g + 19 in the form b*g + a and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 668299 = 3*z + 4*k, -2*z + 445541 = -13*k + 14*k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25 + 25. Let w be 8\/7*5\/(-20). What is the third biggest value in y, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 336618087 and -0.2?\nAnswer: -67323617.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21 in -13, 1, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 22*n - 5. Let x be y(2). Suppose 32 = -x*l + 43*l. Let v = l - -8. Calculate the greatest common factor of 144 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 633174829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (579\/1930)\/(5\/(-580)*-6)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 427863 + -5?\nAnswer: 42785c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -153 divided by 3494\nAnswer: -153\/3494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, l: 3}. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -22. Let x(d) = d**3 - 5*d**2 + 2. Let w be x(5). What is the units digit of (-8*w)\/(1 + v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7358?\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -6. Let l(h) = -2*h + 6. Let d be l(v). Suppose 4*w + d + 0 = 0. Sort 1, 0, w.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide ((-9)\/(-6) + -1)*-540*(-84)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 826*i**3 - 2*i**2 + 2*i**2 - 448*i**3 - 464*i**3.\nAnswer: -86*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**2 - 2*l**3 - 1017*l - 2*l**2 + 1036*l + 1176*l.\nAnswer: -2*l**3 + 1195*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/116644025 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(-4\/7))\/(r\/r**0))**(2\/83))**(16\/5) assuming r is positive.\nAnswer: r**(-128\/2905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20155187*a - 2*i = -20155190*a - 30, 2*a + 15 = 3*i for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 935292653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 300787 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 2*f**3)*(-f - 4*f + 9*f) + 97*f**3 - 52*f**3 - 36*f**3 - f**4 as o + i*f + l*f**3 + v*f**2 + p*f**4 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -7. Let g(m) = -5 + 3*m + w - m. Let d(k) = 1 + 0 - 1 - 3*k. Give d(g(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1282)\/(-6) + (-12)\/(-9). Suppose o = -s + 899. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -434458, -434459, -434460?\n\"Answer: -x - 434457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u - 8*u + 4 + 2*u)*(7*u - 5*u + 2*u).\nAnswer: -4*u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = 2*l. Suppose l*a + 3*k - 78 = 0, -k - 86 = -4*a - 0*a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 4:22 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*q**2 - 4*q**2 + 44*q**2 - 12*q**2 - 7*q**2 + 0*q**2 + 31.\nAnswer: -q**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -38, -3, 44, -1271 in descending order.\nAnswer: 44, 4, 2, -3, -38, -1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i - 1245 = 22*i. Let a = i + -334. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of u**7\/1050 + 3*u**6\/25 + 23*u**5\/100 - 71*u**4\/60 + 47*u**2 + 1. Find p, given that d(p) = 0.\nAnswer: -71, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 7*c**3 + 5*c**2 - 7*c + 8. Let b(a) = 6*a**3 + 5*a**2 - 7*a + 7. Let i(x) = -6*b(x) + 5*s(x). What is i(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*n = 13, -4*p - 5*n + 37 = -0*p. Let l(m) = -m**2 + m + 40. Let h be l(0). Suppose 3*x - 29 = h. What is the remainder when x is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 4\/(-26) - -41*3\/39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 621 and 115371.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -2*y - 1. Let z be r(-3). Let c = z + -4. Do 1\/11 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-1239)\/(-9))\/(7\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000015291076 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = 5*a + 6700000. Round a to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8458.744011 to zero dps.\nAnswer: 8459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -14070.7 rounded to the nearest one hundred?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -3*c**4\/16 - 65*c**3\/12 - 341*c**2\/8 + 121*c\/4 - 6. Factor n(f).\nAnswer: -(f + 11)**2*(3*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 722 + -720. Which is the second biggest value?  (a) -15  (b) 3  (c) -0.4  (d) 4  (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 101, 1138, 2857, 5252, 8317?\n\"Answer: -g**3 + 347*g**2 + 3*g - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 + 683526614742\nAnswer: 683526614741.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 6:18 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 44, -1\/8, -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from uyuuuyuuyuuyuuuyuuy?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9594 + 9596. What is the third biggest value in h, -0.5, 1\/3, 19, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 4.7, -10.2 in increasing order.\nAnswer: -10.2, -10, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 7713, -17, -5, -15, 5 in increasing order.\nAnswer: -17, -15, -5, 5, 7713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -1\/2, 4\/3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttltttlttt.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1510.3137 seconds to minutes.\nAnswer: 25.171895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 26 - 14 - 191*c - 122*c - 6 - 6.\nAnswer: -313*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256809169?\nAnswer: 256809169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 72 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - 0.2. Let w = 54009\/2 - 27005. What is the biggest value in -0.2, i, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13678279 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011111000 + 101100000?\nAnswer: 10001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5153362 (base 9) to base 3\nAnswer: -12011210102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6072080 divided by -108430.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z + 10*z - 8*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.1 + -61.9. Let o = -36 - l. Let y = -28.0075 + o. Round y to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 66*j**2 - 922*j + 37. List the prime factors of b(45).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 - -8. Let i(f) = f**2 + 5. Let n(s) = s**2 + 3. Let k(v) = l*i(v) + 5*n(v). Let b(o) = -3*o**2. What is k(b(q))?\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 + 13*h**2 + 43*h - 1. Calculate j(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 778 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 414 and 4342722?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000845117 to six dps.\nAnswer: -0.000845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 50\/(-18) - (-18)\/(-81). List the prime factors of l - (3 - -53)*-1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 6:57 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*4*(4*(1 + sqrt(2448) + sqrt(2448)) + 4).\nAnswer: -1536*sqrt(17) - 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j**2 - 3790 + 3791 - 2*j**3 - 82*j**4 - 75*j**4 - 30*j**4 + 2*j to r*j + k*j**2 + d + g*j**3 + p*j**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (346\/(-4))\/((-35)\/10 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - 8*c + 1. Is 3 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12024, -11995, -11928, -11805, -11608, -11319, -10920, -10393?\n\"Answer: 3*r**3 + r**2 + 5*r - 12033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 - 6*y + 1. Let n be b(6). Suppose 0 = 3*l + 14 - 20. What is the greatest common factor of n and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3618.67 litres?\nAnswer: 3618670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-2))\/(3\/(-4 + 10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 5412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*d**3 + 91*d + 199619 - 199619.\nAnswer: -14*d**3 + 91*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4218 - 4188. Is y greater than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2323492183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, n: 6, h: 1, j: 4}. Give prob of picking 1 j and 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22014.\nAnswer: 2, 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 169 - (-2)\/2. Suppose 3*m = w + 8, -24*m - 5 = -29*m. Let n be (-236)\/(-10) - 2\/w. What is the highest common divisor of j and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2633631 and 2002?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 17*h + 0 + 19*h)*((-5*h**2 + 4*h**2 - 6*h**2)*(-3*h + 6*h - 4*h) + 3*h**3 - 3*h**3 - 2*h**3).\nAnswer: 10*h**4 - 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 7. Let q be n(5). Suppose -4*m - 5*v + v = -32, 2*m - q = 5*v. Suppose 0*u = u - m. What is the highest common factor of 36 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1736600 to the power of 1\/2, to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 495, -3, 15 in increasing order.\nAnswer: -3, 15, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.8  (b) 0.3  (c) 10873\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1823 - -1772) + (-4 - -103)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-58)\/50 - -2) + -1. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence syc when three letters picked without replacement from {u: 4, s: 4, y: 6, c: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (108\/16)\/((-3)\/8). Let x be 2*1 - (5 - v). Let y = -2 - x. Calculate the remainder when 56 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 53 = -2*u, 5*y - u = u - 241. Let a = -44 - y. Solve -a*b = -o - 18, 5*b - 24 = -3*o - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -437, -447, -463, -485, -513?\n\"Answer: -3*p**2 - p - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-9)\/(-15))\/((-1)\/(-5)). Let t = -3.958 + 4. Let k = -1.958 - t. Which is the closest to l?  (a) -0.04  (b) k  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.95 + 0.05. Let x = 21431 - 21431.1. What is the nearest to 2\/87 in 0.1, w, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 7*t**3\/3 + t**2 - 32*t. Let j be c(1). Suppose -j = 5*q - 7*q. Solve 2*b = 6 - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -15*a. Let w(q) = -8170509*q. Calculate l(w(y)).\nAnswer: 122557635*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 5*y + 29, 5*r - 2*y - 2*y + 61 = 0. Let p(x) = x**2 + 10*x + 16. Let m be p(r). Solve 4*l = -z + m, 0 = 2*z + 2*l - 3 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 7*y**2 - 8*y + 2. Let m be l(-7). Let d = -26 + m. Let r = 44 - d. Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 9:48 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 955 - 491. Let k = i + -463.734. What is k rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7056618 is divided by 805.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f**3 + 1200*f**2 + 64260*f - 952560 = 0 for f.\nAnswer: -126, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10.9, -3, -1111?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/16 and 27\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 755693975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 35080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 8 = -5*m, -m = -97519*y + 97516*y + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Work out 5.7 * 169065.\nAnswer: 963670.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1098699 and 336.\nAnswer: 17579184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -12 - -6 - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20626 - 20439.01. Let y = h + -187. What is the smallest value in y, 4\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/5292 and 119\/24?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 588675 (base 9) in base 15?\nAnswer: 6edce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q + 7. Suppose -5*r - 4 = -4*r. What is s(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minus 689.998?\nAnswer: -425.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (2 + -7 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) -0.4  (c) 4810\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*r + 11 + 39*r**2 - 149 + 103 + 44)*(-1 + 2*r**2 + 1).\nAnswer: 78*r**4 + 26*r**3 + 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1436 and 48.56979671.\nAnswer: 1484.56979671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4798.9269 - -0.436785?\nAnswer: -4798.490115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -240465.9976 + -1.65.\nAnswer: -240467.6476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - 1. Let s be (-2)\/4 + 33\/(-6). Let l be 1*((-10)\/s)\/5. Which is the nearest to 1?  (a) -3  (b) l  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3*j**3 + 2*j - 2. Let q(b) = 15*b**3 + b**2 - 11*b + 11. Let t(x) = -11*a(x) - 2*q(x). Find the third derivative of t(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u - 6. Let j be v(11). Let f = 50 - j. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-45)*3*5. Let h be (-1)\/(f\/6) - -1. Suppose 5*b + 3*m + m = 52, -h*m + 4 = -b. Is b < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 4*d - 3. Let k = 5 + d. Suppose 12*r - 88 - 92 = 0. Solve -2*a = -t + 2, a + t = -k*t - r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 q when four letters picked without replacement from {q: 11, e: 3, p: 4}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34.42*-0.09.\nAnswer: 3.0978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12 + 1 - (-42)\/(-14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 14) + 19 - (12 + -24 - -100)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -3) + -6 + 2 + -2 + 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - sqrt(19)*-1) + sqrt(19))**2*2 + sqrt(171)*-5 - (-5 + -3 + sqrt(1900) + 1 + sqrt(1900)).\nAnswer: -35*sqrt(19) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2468 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -63, -259, -595, -1077, -1711, -2503, -3459?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + (-2)\/(8\/20). Suppose 4*q = -2*l - 3 + 15, t = 4*l + 5*q - 27. Solve 6*u + l = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*o**2 - 2688*o - 538.\nAnswer: 2*(o - 269)*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180 = -12*p + 10*l - 7*l, -p - 4*l - 32 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l - 13 = -22*l. Solve -2*m + 3*m = -l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7656437.\nAnswer: 7656437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -8. Let j be (-2)\/(-5) - 408\/20. Let h be ((-8)\/j)\/(1\/(-5)). Which is the third smallest value?  (a) h  (b) 0.5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 58 = q, 6040*q + 38 = 6035*q - 3*g. Let m(f) = f**2 + 12*f - 2. Let a(p) = 2*p**2 + 24*p - 5. Let c(o) = 2*a(o) - 5*m(o). What is c(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**2 + 2*c**2 - c**4 + (-2*c + 4*c - c)*(-2*c**3 + 3*c**2 - 3*c**2) + 2*c**4 - 2*c**4 - 2*c**4.\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/2668 and 89\/98368.\nAnswer: 2262464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2 + sqrt(432))**2.\nAnswer: 48*sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7630 (base 16) to base 8.\nAnswer: 73060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(196)\/(sqrt(7)*-5) - sqrt(28))\/sqrt(4) - (sqrt(112) + 4 + 1)**2).\nAnswer: -822 - 1236*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j + 4. Let i be (6\/5)\/(5\/100). Let r be -3 - i\/9*-3. What are the prime factors of d(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3224 and 4844008?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 125816 in ascending order.\nAnswer: 1, 5, 125816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - (-42)\/30) + (-18)\/(-5). Solve -g*k + 2 = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 13 = -w, 0 = -2*w + 2*k - 17 + 51. Let r be (-7)\/(70\/w)*(-1)\/(-3). Which is smaller: r or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(4\/5)*b*b**(-4\/7))**(2\/49) assuming b is positive.\nAnswer: b**(156\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 22741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*s + 666 + 1774 = 76*s - 560 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*u - 36 - 42 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5179*h**2 - 4413*h?\nAnswer: 10358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 10:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/(12\/(-4)))\/3. Let g(n) = 4*n**3 + 2*n**2 - 1. Let i be g(1). Suppose 0 = i*w + 7 + 3. What is the closest to c in 1, 3, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34869, -34870, -34871, -34872?\nAnswer: -34873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 + 32. Suppose 5*x = -v*p + 49, 2 = 2*p - 2. What is the least common multiple of x and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2055*r - 35372 + 2602 - 24770 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 95 = b - 6*b, b + 5*k = 48. Let z be 1*b + 0 + 1. Let c be z\/(-42)*(-14)\/4. What is the third smallest value in 0.5, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 153304?\nAnswer: 61321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d - 6. Let z be p(-12). Let c be ((-2)\/8)\/(z\/(-168)). Does 33 divide 3 + -1 + 448\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-3)*((-756)\/(-16))\/21\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let u be (-13)\/((-143)\/22) - 30\/5. What is the biggest value in 1, u, 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3750662032 to the power of 1\/2, to the nearest integer?\nAnswer: 61243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, -1, -5, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -5*f - 3*i, 15 = 2*f + 4*i - 7. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 15 = -2*l, -3*l + 1 = -14. Let u(b) = -5*b**3 - 4*b**2 - 10*b**3 + p*b**2 - 11*b**3 - 4. List the prime factors of u(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -33.976 to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - -8e6de?\nAnswer: 8e6de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.27 - 0.43. Let r = m - 0.3. Let l = 2.1 + r. Sort 5, l, -4 in ascending order.\nAnswer: -4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.867291l?\nAnswer: 867.291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 3*n + 90, 0*q + 4*n = 2*q - 58. Calculate the highest common factor of q and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15009 greater than or equal to -165084\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3067970 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 152013 divided by -1\nAnswer: -152013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/2357 and -51\/475?\nAnswer: 1119575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -3 + m - 1 + 2. Let f be z(7). Let v = 7 - f. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -29, -65, -115, -179?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 2*n + 828. Let j = 111.58 - 114.58. Which is the third smallest value?  (a) n  (b) j  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2 = 4, 3251990 = 4*l + 5*d. Round l to the nearest ten thousand.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -1286*u + 5005. Calculate r(4).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, 5, 4, 10, -1643 in ascending order.\nAnswer: -1643, -5, -1, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*b**4 + 274*b**3 + 256*b**2 + 24*b = 0.\nAnswer: -2, -3\/2, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 5*q - 3. Let k(u) = -2*u + 1. Let v(m) = 6*c(m) + 11*k(m). Let f = 10 + -5. What is the units digit of v(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 959 + -963 - (-1 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 + 2*s + 1. Let q(t) = -16*t**3 + 2*t**2 - t. Let i be q(1). Let f = -17 - i. Determine g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 + 13*r**2 + 2. Let u be b(13). Solve -u*p - p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 20 = 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -78, -292, -648, -1146?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 59967138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1699*m + 729*m - 32980 = 0 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(8\/11)\/u)**(-38)\/((u\/u**(2\/35)*u*u)\/u**(-2\/185)) assuming u is positive.\nAnswer: u**(21111\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1620150 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 116889 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w - 9. Suppose -4*g - 3 = 2*f + 39, 5*f + 3*g + 77 = 0. Let m be n(f). What are the prime factors of (m\/(-5))\/(15\/(-75))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106722 divided by 18.\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 0*l = l - 106, -4*v - 5*l + 68 = 0. Let g(a) = 41*a + 553. Let w be g(-13). Which is bigger: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11 + -1311?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/17  (b) -53  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0204 + -0.1196. What is the closest to -2\/3 in -0.1, a, -3, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2375*c**3 - 133*c**2 + 133*c. Suppose 288*z = 292*z - 2*w - 8, -4*z + 5*w + 2 = 0. Let o(r) = 54*r**3 - 3*r**2 + 3*r. Determine z*u(f) - 133*o(f).\nAnswer: -57*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -67*c**2 + 2363*c - 14143. Calculate x(6).\nAnswer: -2377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -3*z**3 - 4*z**2 + z + 2. Let r be h(3). Let t = 15 - r. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -554829*m**3 + 4114579*m**2?\nAnswer: -3328974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-114 - 112565\/(-987))\/(6\/21)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25776 and 5112.\nAnswer: 1830096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - -26. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 0*s + 48 + s - 43 - 3*s. Let x(f) = -5*f + 14. Give 8*m(b) - 3*x(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2*l**2\/13 - 36570*l\/13 - 22389308\/13 = 0.\nAnswer: -593, 18878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/15)\/12*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o - 2. Suppose -12 = 5*n + 3. Let u(r) = -4*r + 7. Let g(s) = s - 2. Let t(j) = g(j) + u(j). Let y(w) = n*t(w) - 8*h(w). Give y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 - 22. Solve 0 = 2*m + 3 - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 - 12 = 7*v. Let g(d) = 4*d**2 - 7*d + 5. Let x be g(5). What is the highest common factor of x and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, v: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 3486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 375 = 3*l, -5*y - 2*l + 514 - 139 = 0. What is the remainder when y is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-91)\/(-7)*89\/(-356)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1451 = 1825. Let w = -562\/3 + y. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**22*y\/(y\/y**17))\/(y**(2\/31)\/(y\/y**11)) assuming y is positive.\nAnswer: y**(897\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 6) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-615)\/180)\/(-41) + ((-1084)\/(-16) - (-1)\/6)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*n - 4*n - 14. Suppose -n*o + 138 = -0*o. Let l = 71 - o. Put 9, 5, l in descending order.\nAnswer: 9, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 549*i - 2214. What is the units digit of j(81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*g**2 + 0)*(6*g - g - g) - 4*g + 4*g + g**3 + (-g**2 + g**2 + 2*g**2)*(-2*g + 4 - 4) - g**3 + 2*g**3 - 2*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0641153 and 0.170181.\nAnswer: 0.2342963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**3 + 8*l**4 - 6 - 3 - l**3 with respect to l.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**3 - a**2 + a**2)*((0 + 3 - 1)*(6 - 4 - 3) - 1 - 3 + 2 - 3 - 1 + 2 + 2 - 4 - 5).\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-6\/11))\/(a*(a*a\/(a\/a**10)*a)\/a)*(a**(-2\/25)\/a*a*a)\/a**(-20) assuming a is positive.\nAnswer: a**(2878\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(468)*-1 + sqrt(468))\/sqrt(12))\/(sqrt(864)\/sqrt(2)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*i + 223 - 1192 = 0. Let z(y) = -3*y**3 + 6*y**2 + y - 7. Let h be z(-5). What is the highest common divisor of h and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 390988678, 1, -5 in increasing order.\nAnswer: -5, 1, 390988678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**36*(m*m*m**(-9\/7))\/m*m*(m*m\/(m\/m**(37\/3)))\/m*m*m**(-10\/9))**(1\/15) assuming m is positive.\nAnswer: m**(3083\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4206717 divided by 1.\nAnswer: -4206717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 355175 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5 - (24 - 1 - 5). Are k and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 486846 and 1360.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7*b**3 - 65*b**2 - 10*b + 657. Let t(q) = -3*q**3 + 32*q**2 + 6*q - 329. Let a(r) = -3*m(r) - 5*t(r). Find the first derivative of a(o) wrt o.\nAnswer: -18*o**2 + 70*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + 8. Let z be j\/60*9\/6. Sort z, 3, 0.13 in decreasing order.\nAnswer: 3, 0.13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/10 - 1354*q**2\/5.\nAnswer: q**2*(q - 2708)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2008458 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.403932306 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - v + 12 = 3*v, 0 = 3*x + 2*v - 6. Let j = x + 1\/2. Which is the nearest to j?  (a) 0  (b) -5  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 17 = -4*w - 5, 2*w = -4*f - 6. Let q be (-1)\/f + (-10)\/20. Suppose -v = -q*v - 167. List the prime factors of v.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of g**4\/4 - 29*g**3\/3 + 5*g**2\/2 - 144*g + 3803. Give x(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8 + -1 - (-51 - (-10 + 25 + -25)). Solve -4*m + 2*q + 38 = 0, 44*q - h*q - 6 = 2*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, l: 9, y: 1, x: 3}. What is prob of sequence kkxk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 31957674 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14040.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*n + 0*n + 3*n)*(-1 + 1 - 1) - 7*n + 3*n + 2*n)*(-3 - 4 + 5 + (39 - 31 - 42)*(0 - 2 + 1))*(2 + 0 + 0).\nAnswer: -192*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156\/(-5512)*220\/165.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38 - 33. Suppose -n + 8 = 3*t, -n - 5 = -3*n + v*t. Let y be 4 - (-4 + n)\/(-1). Solve 8 = y*d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -39 + 47. Let c be m\/40*5\/(-2). Let n = 0.048 - 0.048. Sort n, 3, c in descending order.\nAnswer: 3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 4*i - 3 - 7, -3*l = 5*i - 13. Solve -h + 2 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -2*t**3\/3 + t**2\/2 - 6*t - 29. Suppose -5*y - 63 = 2. Let w(h) = 4*h**2 - 2*h + 13. Give y*f(z) - 6*w(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o + 3, -9*o = 3*v - 8*o + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39799093*i**3 + 2*i**2 + 2*i - 515302774 wrt i.\nAnswer: -119397279*i**2 + 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - r + 0*r)*(-9 + 7*r + 16 - 4*r).\nAnswer: -12*r**2 - 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*m - 579*p + 581*p = -274, -m - p + 1 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 83, 17, -1 in ascending order.\nAnswer: -1, 4, 17, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 14051 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 803098069?\nAnswer: 4483, 179143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -58, -55, -4, -0.28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 4*t**2 - 13*t - 11. Let i(x) = 4*x**2 - 3*x - 111. Let u(p) = -2*p**2 + p + 60. Let n(k) = -6*i(k) - 11*u(k). Give -11*n(b) - 6*o(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.16545 and -2432.\nAnswer: -402.3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - 5*l + 27 + 1, 0 = -4*o - 5*l + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -469*y**2 - 13*y + 13*y + 24*y**2 - 192*y**2 + (4*y - y - 2*y)*(0*y - y + 3*y) as h*y + z + b*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 6. Let n(q) = 44 + 29 - 80. Let z be ((-7)\/(-9))\/(1\/9). Give z*b(c) + 6*n(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -215.99999406 + 216. What is g rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.6 - -5.6. Is o >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245 (base 15) in base 3?\nAnswer: 201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*x + 44*x + 45 = 0. Solve x*u + c + 24 = 0, -u = 6*c - 3*c + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a factor of 765109259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*q - 14*q - 20*q.\nAnswer: -66*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(2\/23)\/(h\/(h*((((h\/((((h**(-1\/5)*h)\/h)\/h)\/h))\/h)\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**(-82\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 6:34 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 42574920559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 68*x**4 + 210.\nAnswer: 272*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(-4*sqrt(7)) - sqrt(2)) + -1.\nAnswer: -5*sqrt(2)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence opo when three letters picked without replacement from ooppopo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 11:25 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u, 1 i, and 1 q when four letters picked without replacement from qqqqiqiuuquu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -6 - 8*x + 6*x - 8*x - 3*x. Is 9 a factor of d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 4*j - 6 + 22 = 0, -2*j = -5*k - 8. Solve -3*m + 2*c + 7 = k, 2*m + m = c + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -19e?\nAnswer: -19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 695 - -185?\nAnswer: 86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*j + 141 + 49 = 0. Solve 6*r - j*r - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12605.22*1.3\nAnswer: 16386.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4108602 is divided by 410?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1320, 1257, 1194, 1131?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -284168 (base 9) in base 7?\nAnswer: -1322153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/1 - (-2508)\/462.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11280 - -11287. Put -51, 3, -4, 1, m in ascending order.\nAnswer: -51, -4, 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9  (b) 0  (c) 3326\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1414*v + 117 = 1453*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/225)\/(2\/(-20))*(-2)\/(-6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-990)\/(-77) + -20 + (-12)\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7202225783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1449454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 2:56 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 611\/7 + -3048\/35. Sort -1, p, 3, -3, 4\/5.\nAnswer: -3, -1, p, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 99963\/16 + -6245. Let b be (3 - (-25)\/(-10))\/(1\/(-1532)). Let t = 3003\/4 + b. Find the common denominator of v and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 0*b + 1\/2*b**2 - 1. Let r(h) = -21*h**2. Calculate r(c(p)).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1136 - 1136. Let j(i) be the third derivative of -i**4\/24 + 3*i**3\/2 + 2*i**2. Calculate j(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(1\/4)*l*l**(2\/39)\/l*(l*((l*l**(-11))\/l)\/l*l)\/l**(-3\/4) assuming l is positive.\nAnswer: l**(-349\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence twww when four letters picked without replacement from twwwttwttttw.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -3*x - 15 + 64, -95 = -5*x + 5*i. Let b(t) = 16*t**2 - x*t**2 - 14 + 3 - t. Let l be 2\/(-8) + (-1)\/(-4). What is b(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -ba191 (base 12) in base 3?\nAnswer: -110110221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**2 + 2 - 2 - 3*a**2 + 2*a**2 - a**2 + (-2 + a + 2)*(-20*a + 13*a + 16*a) + (16*a - 21*a - 20*a)*(-4 + 4 + 4*a) to k*a**2 + i*a + f and give k.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(3\/2)*m\/(m*m**(-1\/4)*m))**(-5\/7)\/(m**(-1\/4)*m*((m\/(m*m*m\/(m**(2\/9)*m))*m)\/m*m)\/m)**(-9\/8) assuming m is positive.\nAnswer: m**(-127\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 10 - 6 = 0. What is the highest common divisor of 16 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31510 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (33*(-130)\/(-3300))\/((8\/100)\/(-1))?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211 + -1?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/8621378?\nAnswer: 1\/8621378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/(-6))\/(3\/(-9)))\/(((-56)\/826)\/2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1489838 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7318051 and 82069.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4*x**3 + 24*x**2 - 8*x - 13. Let f(u) = -7*u**3 - 47*u**2 + 17*u + 27. Let c(n) = -3*f(n) - 5*t(n). List the prime factors of c(-21).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -4, 0.6, -5, 0.31, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 20*p. Does 9 divide q(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-4*sqrt(85) - sqrt(85)))\/(sqrt(500) - sqrt(500)*2 - sqrt(500)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 44111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62722?\nAnswer: 2, 11, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 18602350695 and -2.73?\nAnswer: 18602350697.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*(-273)\/182\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 21. Let i be u(-12). Let g = i - -37. Solve 5*d - g*k = 16 + 5, 13 = 5*d - 2*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 4. Suppose 0 = -t + 1 + 1. Let h(a) = -3 + 6*a**2 + j - t*a + 3*a. Calculate h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from iiiiieiiei.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245) + (sqrt(245)*-2 + sqrt(245))*-5 + -1)**2 + ((sqrt(245) + (sqrt(245) - -2*sqrt(245)) + sqrt(245))**2 + 3)*3.\nAnswer: -84*sqrt(5) + 27205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 57763 and 16262.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of 33333*f**2\/2 - 4*f - 1. Let q be l(-12). Round q to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 4*h + 0 = 21, 4*j + h - 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-5))\/((-39)\/15 + 2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 1:42 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -120, -745, -1370?\n\"Answer: -625*i + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 492758991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 323989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12101021 - -201102101?\nAnswer: 112001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18666)\/(-30) - (-1)\/(-5). Let q = 953 - z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123705254 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r - 11. Let y = -16 + 5. Let f be g(y). Do -1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away -671238?\nAnswer: 671238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*f**5 + 355960*f**4 - 6337155620*f**3 + 63344150050*f**2 - 145677700055*f + 88670349670 = 0. What is f?\nAnswer: 1, 2, 7, 35591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 374 = -g. Suppose -2*o + 61 = 4*i - 9*i, -i - g = -5*o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -1 - 14, -5*h + 3*u = -19. Solve 5 = 5*k - 3*p + h*p, k - 2*p + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v. Let p(t) = -285*t**2 - 11*t. Let j(z) = 4*z**2 + 43*z - 61*z**2 - 23*z - 22*z. Let w(b) = -22*j(b) + 4*p(b). Give f(w(d)).\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 62, 67, 70, 71, 70, 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, 5, -9027 in descending order.\nAnswer: 5, 0, -1, -9027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - x + 10, n = -n + 5*x + 19. Is ((-7)\/n)\/(1\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/378 and -121\/1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 95 + -99. What is the third smallest value in 0.06, 6, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-22)*5\/((-100)\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zkkz when four letters picked without replacement from zkzzkkzkzkkk?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(3\/29)*c*c\/c**32)\/((c*c**43)\/c**(-5)) assuming c is positive.\nAnswer: c**(-2259\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**4 - 2236924*w**3 + 20132100*w**2 - 60396084*w + 60395976 = 0 for w.\nAnswer: 3, 559222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20431236 + 20431235.91521199. Let q = s - 20.91521669. Let f = -21 - q. Round f to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*h**2*j**2 + 5169144*h**2 + 10929566*j**2 + 3 wrt h.\nAnswer: 12*h*j**2 + 10338288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nxf when three letters picked without replacement from nixffft?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.71331 - 7.71. Round z to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 - 3*v**2 + 5*v - 4. Determine p(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 282 and 14?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1035 is divided by 68.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -21*u**3 + 6*u**2 + 7. Let a(w) = -22*w**3 + 4*w**2 + 9. Calculate -3*a(s) + 4*p(s).\nAnswer: -18*s**3 + 12*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 148\/(-42) + (-4)\/28. Let m = -48 - -45. Do m and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 4*t**2 - t + 1. Let q be l(-4). What is the third derivative of 25*h**2 + 60*h + 24*h**q - 60*h + 44*h**5 wrt h?\nAnswer: 4080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-6) + 17\/42. Let m = 8 + -8. What is the closest to -3 in -3, j, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2*y - 21 = 0, 17*m - 14*m + 5*y = 6. Let o(d) = -d**2 - 8*d - 2. What is o(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + 52 - 23 - 1254*j + 176*j.\nAnswer: -1078*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35348456 and 943800?\nAnswer: 12584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h**2. Let f(z) = -1. Let q = -99 - -97. Let p(y) = 8*y**2 + 7. Let c(l) = q*p(l) - 14*f(l). Calculate c(k(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 19 + 34*k - 30 in the form v*k + q and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10717.6 - -10718. Let s = 36 + -35.44. Let u = 30.44 + s. Which is the smallest value?  (a) 4  (b) u  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 + (3 - -6) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.92995kg in grams?\nAnswer: 44929.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 7:42 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 138 - 140. Let b be -1 + -37 + (10 - 15). Let f = -41 - b. Sort d, f, -1, 1.\nAnswer: d, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) -1\/5  (c) 113  (d) -33\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 145954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-1 - (6 + -5 + 4)) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - q**2 + 8*q + 3. What is u(4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10201\/856 + -9\/214. What is the common denominator of k and 77\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 3*f + 27, -c + 5 = 2*f - 3. Let b be c\/33 + (-687)\/(-33). Solve -9 = -g - 4*q, q + 0*q - b = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + (122 - (-32 + (-19 - -2))).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert b804c (base 15) to base 10.\nAnswer: 583947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 3.25. Let t = u + 0.25000031. Round t to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26993 (base 15) to base 8.\nAnswer: -361417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68640869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6900999.\nAnswer: 3, 7, 328619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1644 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 21671, 172215, 580841, 1376591, 2688507, 4645631, 7377005?\n\"Answer: 21507*s**3 - s**2 - 2*s + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-8 + 1 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*s**2*t**3 + 2*s**2*t + 2*s**2 - 1873531*s*t**3 + 270*s*t + s - t - 94 wrt t.\nAnswer: -72*s**2*t - 11241186*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30498 and 19589882.\nAnswer: 10166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) -2  (b) -0.0758  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -51, 0.4 in descending order.\nAnswer: 0.4, 0, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8 - ((-9360)\/105)\/(-12). Solve -d*p + 4\/7*p**2 - 8\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19866 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 3. Suppose -3*n - 2 = -4*n. Let h be (-14)\/(-21) - n\/4. What is the closest to z in h, 4, 5\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of n**4\/24 + n**3\/6 + 40*n**2 + 1. Let k(i) = 6*i. Give 5*f(q) - k(q).\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of -3*l**2 - 18*l - 15. Let o be z(-18). What is the highest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -16*i**3 - 6*i**2 - 30*i + 6. Let m(f) = 17*f**3 + 5*f**2 + 29*f - 5. Let r(w) = 6*m(w) + 5*z(w). Find the second derivative of r(s) wrt s.\nAnswer: 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 57551460 and 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1)**(-16\/5)*r**(-2)\/r**0 assuming r is positive.\nAnswer: r**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -9380 divided by 9380?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -282 + 383. Let t = -100.7 + n. Which is the smallest value?  (a) -5  (b) -43  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 246\/31 + (-96)\/(-1488). Let j = -6 + d. Let m(o) = 4*o**3 - 3*o + 2. Calculate m(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -20*a**4 + 108*a**3 - 20*a**2 - 108*a + 40 = 0.\nAnswer: -1, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + d. Let o be w(0). Suppose -u + 12 - 4 = o. Solve g + 2*t + u - 1 = 0, -4*g - 3*t - 13 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -h**3\/6 + 5*h**2\/2 + 11*h. Let t be g(2). Suppose -w + u + 79 = -0*w, t*w - u - 233 = 0. List the prime factors of w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25621 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 7:23 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 870397 and 18425?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 2*o = 22, 5*a - 7*o - 21 = -3*o. Suppose q = -q, n - 45 = -a*q. Suppose 0 = 2*t - 175 + n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 405\/675*(90\/(-4))\/9.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 23*h + 88 = 0. Put h, 4, 2, -5 in increasing order.\nAnswer: -5, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.96 + 2.56. Let o = 1137 - 3409\/3. Which is the nearest to 1?  (a) o  (b) 2  (c) -1\/2  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/5  (b) 584  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l. Let p(h) = -23*h. Suppose 0 = -4*m + 508 + 136. Let a(q) = 621*q. Let z(s) = m*p(s) + 6*a(s). What is n(z(b))?\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 0*m + 2 - 3 + m. Let z be d(4). What is the third derivative of 2*u**z - 5*u**3 + u**2 + u**2 wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35.94 - 34. Let r = -0.06 - y. Let v = -4 - r. Which is the biggest value?  (a) 5  (b) 3\/7  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 6*(sqrt(13) + (sqrt(39)\/sqrt(3) + sqrt(13) - sqrt(13))) + sqrt(13))**2.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -61*i**3\/3 - 1. Let j(m) = 4*m - 210. Let q(g) = -6*g + 336. Let n(s) = 8*j(s) + 5*q(s). Give r(n(v)).\nAnswer: -244*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5178.883 days to minutes.\nAnswer: 7457591.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -39  (b) 5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 7*j**2. Let n be q(-1). Suppose -10 = -0*c + 2*c. What is the units digit of n + (c + 3)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5744, 5741, 5736, 5729, 5720, 5709?\n\"Answer: -o**2 + 5745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.186 - -113.186. Let g = -802.5715581 + 915.57155881. Let h = g - f. Round h to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5806, -11613, -17420?\n\"Answer: -5807*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -53*a - 1381. What is the remainder when 497 is divided by q(-28)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (50\/125)\/(14\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h - 66 = -54 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 0*l**3 - 16*l**2 + 0*l + 0 + 1\/24*l**4. Let q(d) = 38*d**2. Determine q(b(y)).\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c + 21. Let z be q(-16). Suppose -3*t + 5*r = -33, -1 = 2*t + z*r + 2. Solve 0 = 4*l + 5*s + t, 4*l - 6*s = -s - 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 23*r + 150 = 0. Solve -r*k = 6 + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**5 - 20*v**4 + 5*v**2 + 35*v. Let f(u) = -u**5 - 20*u**4 + 4*u**2 + 34*u. Let x(z) = -5*f(z) + 4*g(z). Find the second derivative of x(r) wrt r.\nAnswer: 20*r**3 + 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104, 143, 192, 257, 344, 459?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + q**2 - q**2)*((-q + 3 - 3)*(-1 + 0 + 2) - q + 3*q - 4*q)*(-5 + 5 + q) + (3*q**2 + 0*q + 0*q)*(-512850 + 512850 + 320*q**2).\nAnswer: 966*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 176.7 - 29.7. Let h = g + -152.9. Let d = -5.900092 - h. What is d rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4365 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -0.1, 0, 6\/128101?\nAnswer: 6\/128101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -37.62 and 112.\nAnswer: -4213.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 3*h - 1. Suppose -5*b + 3*f + 32 = -0*b, 5*b = -2*f + 12. Calculate m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 790 and 1027.\nAnswer: 10270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.15983 + 474705.66\nAnswer: 474705.50017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k. Let h(n) be the third derivative of -n**6\/360 + 4*n**3\/3 + 10*n**2. Let m(i) be the first derivative of h(i). Determine m(b(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 93 = 2*z, -k - z = -12 - 8. Suppose -17*h = -k*h + 158. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 372115231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**5 + 102*r - 1 wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u + 17. Let d = 13 + -10. Suppose 3*y - 6*y + d*i - 45 = 0, 3*y + 3*i + 57 = 0. Let b be v(y). Solve l + 6 = -3*j, 3*j = -b*j + 5*l + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/40 and 737\/(-935) - (2 + (1 - 3)).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 3, -539, -5, -2.\nAnswer: -539, -5, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**25)\/z**(1\/38)*z**(2\/37)\/z*z*z**(19\/2) assuming z is positive.\nAnswer: z**(24976\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -27 (base 12) to base 2\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11758, -11759, -11760, -11761, -11762?\nAnswer: -11763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 0.22?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 163516 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -14*d + 27. Let z(t) be the first derivative of 0*t + 7 + 0*t**2 + 0*t**d - 1\/4*t**4. Factor z(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 1. Let s be h(0). Let r = -7512\/17 - -442. Which is bigger: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18 + 1 - (0 + 3). Suppose -14*c + 13*c = t. Which is smaller: -15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqjv. Give prob of sequence qqvj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 260243.57 + 196?\nAnswer: 260439.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49 + 5. Let c = x - -78. Does 17 divide c*-2*(-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19027791 divided by 2114199?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 10*i**3\/3 + 235. Let p(o) be the first derivative of 1 + 0*o - o**2 + 0*o. Determine p(y(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w - 5*x + 45144 - 44988, 5*w + 5*x = 190 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2849, 4963, 7075, 9185, 11293?\nAnswer: 13399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 333 + 53 = 0. Let d = q - -122. Suppose d = 2*a + 2*z, -2*z + 61 = 4*a - 73. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 366.211145 * -5\nAnswer: -1831.055725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11258 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 6*n**2 - 3*n + 6. Let s = 213 + -207. Let m(b) = -s*b**2 + 2*b**2 - 271 + 3*b - 3*b**2 + 264. What is 5*m(f) + 6*u(f)?\nAnswer: f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16313080073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 102190137, 204380265, 306570393, 408760521?\n\"Answer: 102190128*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i + 1. Let b(k) = 4*k - 3. Let m(v) = -2*b(v) - 6*q(v). Let g(c) be the second derivative of 7*c**3\/6 - c. What is m(g(h))?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.51 - -3.41. Let o = 21 - 19.2. Let d = o - 2. Which is the closest to 2\/13?  (a) d  (b) -2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*d = 4*t + 5, 5*t + 120 = d. Let f = 36 + t. What is the highest common divisor of f and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 210 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/18 and 43\/2818.\nAnswer: 25362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42\/(-390) + (-208)\/(-676).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 52?  (a) 1\/34  (b) -1  (c) -7787  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 535 - 179. Which is the third biggest value?  (a) j  (b) -5\/3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -9*i**2 + 2. Let m be b(1). Let s(l) = -5*l - 1. Let n(t) = -4*t - 1. Let z = -2 + 6. Suppose z*v = 3*v + 6. Calculate m*n(a) + v*s(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 + 0 - (-279 + 275)) + -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 101001010011101110 (base 2) in base 8?\nAnswer: 512356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-0.08.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of g**3 + 5*g**2\/2 + 3*g + 66. Let h(x) = -x**3 + 9*x**2 + 5. Let t be h(9). Let l(w) = -w**2 - w. Determine t*l(d) + n(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*k - k. Suppose k*g - 17 = 95. Let l be ((-8)\/24)\/(g\/(-3)). Is 1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -25*h**7\/98 + 13*h**6\/14 - 69*h**5\/70 - h**4\/14 + h**3\/2 + 3*h**2\/14 - 7*h. What is w in n(w) = 0?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 12. Calculate the remainder when ((-450)\/4)\/((-2)\/(-14)*2422\/(-692)) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7224 - -7271. What is the second biggest value in 0.1, 1\/6, s, 1\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 89*w**2 - 49*w**2 - 45*w**2)*(2*w**2 - 13 + 11 - 33).\nAnswer: -10*w**4 + 135*w**2 + 700","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20841436 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 28642, -31, -8, 1 in ascending order.\nAnswer: -31, -8, 1, 28642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 7*b**2 + 2*b**2. Let q(k) be the third derivative of k**6\/240 - 17*k**4\/24 + 6*k**2. Let i(z) be the second derivative of q(z). Give i(j(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 29686 = -4*h, 5*h - 35764 = -3*k + 8770. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 divided by 2125.\nAnswer: 92\/2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 6, t: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5624 + -0.418. Round u to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of 181 - 375\/2*f**2 - 3\/5*f**5 + 0*f - 45\/4*f**4 - 75*f**3. Factor m(i).\nAnswer: -3*i*(i + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6936 + -515a2?\nAnswer: -46868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22503 - 304058.158.\nAnswer: -281555.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 0.06. Let t = 3.94 + y. Let r = t - 4.039. Round r to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - 0) + 0 + (1805 - 1801)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - 275287?\nAnswer: -275289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5*r = -0*w + 1, -w - 2*r = -4. Suppose 0 = w*j + 5*o + 11, -3*o - 39 = -2*j + 2*o. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from {o: 7, m: 9, c: 2}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/((-10080)\/24)*6*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 627572 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u**2. Let t(p) = 4*p**2 - 3*p + 3. Let y(w) = -7*w**2 + 5*w - 5. Let g(h) = -5*t(h) - 3*y(h). What is i(g(j))?\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 194.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8782 + -14932. Let i be (-7 + -233)\/(4\/n). Round i to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1*c**(-6))\/(c*c**(1\/3))**33)\/((c\/(c\/(c*c*c**(-1\/2))))**(1\/2)\/((c**(3\/10)\/c)\/(c*c**5*c))) assuming c is positive.\nAnswer: c**(-1149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/9)*(z\/(z*z*z**(-2\/11))*z)\/z)\/(z\/((z\/((z\/((z\/(z*z**2)*z*z)\/z))\/z))\/z*z)*z**(-3\/10)\/z*z))**(-3\/7) assuming z is positive.\nAnswer: z**(1613\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tpttp. Give prob of picking 1 p and 3 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 659915 is divided by 164957.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n + 128. Let z(h) = -2*h - 146. Let d(a) = -5*y(a) - 4*z(a). Determine d(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s - 3*s - 2*s)*(0*s + 6*s - 3*s)*(3 - 1 + 4).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17968731 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) - (5*(sqrt(162) - sqrt(18)) + sqrt(18))) + sqrt(18))\/(3*sqrt(18)\/sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 3*t = 467, -491 = -4*x - t - 4*t. Calculate the remainder when x is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 665 (base 8) to base 15\nAnswer: 1e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/113, 17, 10, -1958?\nAnswer: -1958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 1 + 4)*(-1 + 1 + 2) - 3 + 3 + 2 + 5 + 0 - 3)*(980*o + 984*o - 1717*o).\nAnswer: 1976*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2.432857 kilograms?\nAnswer: 2432857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14562583829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 - c**2 - 2*c. Let l be q(3). What is the highest common factor of l and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16486690 and 106865?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 5*h**2 + 3. Suppose 18*k + 6 = 78. Let n be -6 - (k\/(-7) - 33\/77). Give x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 3*l**2 - 21. Let t be i(-7). Let c = t - 131. Let b(h) = -182*h + 45. Is b(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 AM and 3:07 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, t: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9803*n - 40 + 453*n + 40 + 63205*n.\nAnswer: 73461*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 37100 and 1749.\nAnswer: 1224300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 5:14 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 4774.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 - 21 = -2*p + 4*i, -4*p + 3*i = -186. Let m = p + -20. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35682583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 12240*j**3 + j**2 - 8*j + 15. Let c be a(5). What is c rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.249999779 - -4.25. Round o to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 115233 + 540?\nAnswer: 120213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13.2 + 3. Let v = q + -16.1. Let m = 9 - 6. Is v bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 9:30 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 - 8924.38113.\nAnswer: -8924.32113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is -111031102020 (base 4) in base 11?\nAnswer: -315797a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/7*j**3 - 1\/7*j**2 + 0 + 0*j - 1\/7*j**4 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -152\/441 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -7. Let a = -2 - -6. Let j(m) = -5 - 2*m**2 + 4*m + 6*m**3 - 2*m + a. Calculate j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -59*j - 25. Calculate o(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 96109 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 2*d**3 + 25*d**3 - 42*d**3 + 26*d**3 + (-8*d**2 + 2*d**2 - 4*d**2)*(-5*d + 3*d + 3*d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 54354 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*t**2 - 5*t**2 - 3*t**2 + (-179*t + 36*t + 1324*t)*((1 - 4 + 1)*(1 - 2*t - 1) + 3*t + t - 2*t + t - 2*t - t) to the form l + r*t**2 + c*t and give r.\nAnswer: 4720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 16*0.814\nAnswer: 13.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9b6760 + 2?\nAnswer: -9b675d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 9*r = -4*r, -3*f - 3*r = -18. Is -3 + -1 + 168 - f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3568 by 892.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -7.9?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -1. Let l(t) = 2*t**2 + 2*t + 6. Suppose 4*j + 19 = 3*g, 5*j - 11 = -5*g + 9. Let n = 8 + -4. Suppose 5 = n*a + 25. Determine a*o(i) + j*l(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -377\/3060 - -1\/180. Which is the fourth biggest value?  (a) 1  (b) -2  (c) z  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31488 by -656.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 340398151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 444 - 5. Let w = j - 349. What is the lowest common multiple of 22 and w?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -1\/6*s**4 + 3*s - s**2 + 3 + 0*s**3. Let b(t) be the first derivative of n(t). Find the first derivative of b(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2295, 2302, 2321, 2358, 2419, 2510, 2637, 2806?\n\"Answer: m**3 + 2294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0*p. Suppose 3*j - 3*x + 9 - 30 = p, 2*j - 12 = x. Solve -3*i + j*y = 25, -5*i = -10*i - 5*y + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of 11*s**2\/2 + 11*s + 26. Find the first derivative of o(r) wrt r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 552958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101 - 21*u**2 + 57 + 22*u**2.\nAnswer: u**2 + 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -5*n + 2623, -3*n + 7*n - 3*v - 2104 = 0. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 1. What is the remainder when 42\/28*(-3 + 5) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2955 + 2955. Which is bigger: w or -19\/230?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -3*r + 4 - r + 3*r. Let n be 5\/1*(-16)\/10. Calculate the lowest common multiple of u(n) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d - 4*d + 0*d)*(-3 - 45 - 3) - d - 4 + 0*d + 13 to v*d + q and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3 + 9 = 0. Let i(q) = 2*q**2 - q - 2. Let t be i(f). Find the first derivative of -1 + 0*s**t + 0*s**4 - 2*s**4 wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 377130.6mm to micrometers.\nAnswer: 377130600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = b - 16. Let g(q) = 3 + 7975*q - 2 - 7974*q - 10. What is g(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 727052147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 443 divide 329650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r. Let l(a) = -845*a. What is l(c(w))?\nAnswer: 845*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -d**8\/112 + d**6\/4 - d**5 + 15*d**4\/8 - 2*d**3 + 121*d**2. Solve k(g) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 83, 3, -259, -2, 2.\nAnswer: -259, -2, 0, 2, 3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 85 in ascending order.\nAnswer: -5, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 145252, 148813, 152374, 155935, 159496?\nAnswer: 163057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8bdc - -3?\nAnswer: 8c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -300*m**3 - 29*m**2 + m wrt m?\nAnswer: -1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 651952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**2\/7 - 596620*m\/7 - 1022736 = 0 for m.\nAnswer: -298298, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 4 + (4 - 12) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t + 12. Let x be f(9). Let i(j) be the third derivative of j**4\/12 - 2*j**3\/3 - 3*j**2. Let o(l) = 1. Determine x*o(r) - i(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-17)*g\/(g\/(g*g*((g\/g**17*g*g)\/g)\/g)*g*g*g))\/(g**(-2\/19)\/g*g**(-1)*g) assuming g is positive.\nAnswer: g**(40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -129.48522\nAnswer: 517.94088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81 is divided by 8\/6*(-4 - (-43)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.06 and -0.010258?\nAnswer: 0.00061548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 221 by 184.\nAnswer: 221\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20.3 - -20. Let o = q + -2.3. Let n = 1.6 + o. Is n less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**5 + p**5 - 4*p**5 + (4*p**3 - p**3 - p**3)*(-50 + 50 - 14*p**2).\nAnswer: -31*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(294) + (sqrt(294) - (sqrt(294)*2 - sqrt(294) - sqrt(294))))\/sqrt(2) - 2*(sqrt(147) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - ((3 - -1) + 0) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -317125 divided by -63425.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/3)\/((-2)\/(12\/14)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g. Let f(t) = 53 - 26 - 8 - 647*t - 4 - 13. Give j(f(k)).\nAnswer: 1294*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h - 3. Let j be r(-4). Suppose 0 = -0*d - j*d - 5590. Let x = -1978 - d. What is x rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 15*k)*(-2*k**4 + k**4 + 0*k**4).\nAnswer: 15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 4*d**2 - 6*d - 2. Suppose 7*i - 5 = -40. Give s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*r - 7*r + 1 + 6*r**2 - 4*r**2 + 5*r to the form a*r**2 + n + x*r and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15777 is divided by 405.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68 - 114. Let o = u - -76. Let r = o - 27.6. Round r to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*r**3 - 686*r**3 - 495*r**3.\nAnswer: -1278*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.247 + 236.753. Let t = 240.563115567 - 3.563162867. Let m = u - t. What is m rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-5))\/((-10)\/50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -5*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + -20 + -8 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60929540 and 95746420?\nAnswer: 670224940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 15)\/(4 + -3). Let b be d\/6 + (-2)\/4. Let i(v) = -v**2 - 5*v - 4. Determine i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6173 is divided by 2052.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 128 = -24. Let q be (-1 - -1)\/(4\/(7 - 3)). Calculate the lowest common multiple of -1 + (1 - (q - 2)) and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by -4729930.\nAnswer: 21\/4729930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8d37a6 (base 15) to base 5.\nAnswer: -3211314411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 32 - (3\/(-12) - 0). Let t = -32 + q. What is the closest to 2 in -0.5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 1798\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y. Let p(a) = 370*a**2 + 3*a. Let q(d) = 6290*d**2 + 50*d. Let c(s) = -100*p(s) + 6*q(s). Calculate v(c(g)).\nAnswer: -1480*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -206.73 * 5\nAnswer: -1033.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010021200220 (base 3) in base 14?\nAnswer: 11734b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4865 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -245 - -240. Which is the closest to -0.05?  (a) -0.2  (b) -0.4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 6*u**2 - u - 8946. Determine m(23).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -228697.0000128347 - -228697. What is i rounded to seven decimal places?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y + 2. Let b be q(3). Let h be 4\/b - -6 - 2. Solve o = h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2824, 2825, 2826, 2827?\n\"Answer: f + 2823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1156, 501, -152, -803?\n\"Answer: r**2 - 658*r + 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uppxxxuxutxpuphp. What is prob of sequence pxxx?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 5\/4  (c) -1\/3  (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -12, 1323, 2\/31, -249?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7\/5*t**3 + 0*t + 0 + 7\/5*t**5 - 2\/5*t**2 + 2\/5*t**4 = 0. Calculate t.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + (-3)\/(-2))*-1. Suppose -1\/2*z + 0 - 1\/2*z**2 + f*z**3 + 1\/2*z**4 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2535*s. Let g(r) = 810*r - r**2 - 810*r. Calculate g(v(y)).\nAnswer: -6426225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i + 4. Let u be h(-5). Let t = 15 - u. Let v = -654 - -663. Which is the third biggest value?  (a) v  (b) 4\/9  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47\/42 - 15\/14. Let h(u) be the second derivative of r*u**3 - 1\/42*u**4 + 4*u + 0 - 1\/70*u**5 + 1\/7*u**2. Solve h(y) = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.42 - 2.42. Is 0.2 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a factor of 30147500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36 (base 8) to base 14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l**2*n**3 + 4*l**2*n**2 - 6898*l**2 - 2*l*n**3 - 405*l*n**2 wrt l.\nAnswer: -2*n**3 + 8*n**2 - 13796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.40773 + -0.00773. Which is the smallest value?  (a) 23  (b) -26  (c) -0.2  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2111895 divided by 1983?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u + 13. Let s be a(7). Let x = s + 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29715 and 125622.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 3*g**2 - 5*g. Let d be p(4). Let h be 16\/6 - d\/12. Suppose -h*j - 42 = -2*i, 0*i = 4*i + j - 84. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 254 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of f**5\/15 - 13*f**4\/3 + 338*f**3\/3 - f**2 - 21*f. Factor s(u).\nAnswer: 4*(u - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 116*p**2 + 257*p + 2473. Calculate n(-118).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 28*o + 6. Let c be x(-2). What is the tens digit of (-2)\/(-6)*0 - c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 19 - 6*o**2 + 12 + 50 - 32*o - 11 = 0.\nAnswer: -7, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204)\/sqrt(48) - (sqrt(17)*2*-6)**2) + -6*(sqrt(17) - (sqrt(17) + 2)*-2).\nAnswer: -2472 - 35*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -8*o**3 + 3*o - 1. Let c(b) = -9*b**3 + 4*b - 1. Let u = 2225 - 2222. Calculate u*c(y) - 4*j(y).\nAnswer: 5*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5, 2*o - 26 = -2*d - 2*o. Suppose 0*u = 2*u - d*n - 16, -2*u = 4*n - 2. Suppose -5 = -u*i + 5. Solve 5*p + 3*k = -26, 3 + 5 = -3*p + i*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + ((-1 + sqrt(325)*-3)**2 - sqrt(325)) + (sqrt(325) - -4*((-3*sqrt(325))**2 - sqrt(325)))).\nAnswer: 60*sqrt(13) + 87738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(3\/6*-3). Let j = 8 + l. Suppose 0*u - 72 = -j*u. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + (2 + 37 + -47 - (-1 + -6)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - j - 4)*(2*j - 4*j + j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o - 4. Let s be h(2). Solve -3*i + 9 = 2*t, s + 16 = 5*t + 3*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -19. Let x be n - (1 - 0 - 3). Suppose a + 88 = x*a. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/3  (b) -0.1  (c) 2\/5  (d) -67  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 30350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*h + 1406, -3*r = -32*h + 30*h + 1422. Calculate the lowest common multiple of h and 15.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 208 divided by -12\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -10212 (base 4) in base 16?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/2*k**4 + 19*k**2 + 0*k + 0 - 39\/2*k**3 = 0. Calculate k.\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.17092 rounded to 3 dps?\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -19*r + 21*r - 3 + 6. Let u(a) = -a**2 + 4*a + 5. What is 5*q(d) - 3*u(d)?\nAnswer: 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6024*x - 6012*x + x**2 + 12003*x.\nAnswer: x**2 - 33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 103 - 62. Suppose 2*i - 266 = 4*z, 3*i - o - 356 = 4*z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of c**7\/40 + c**6\/180 - c**4\/24 + c**3\/3 - 47*c**2\/2 - 2*c + 18. Let d(t) be the second derivative of y(t). Determine d(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l**3 + 2*l + 5. Suppose -a + 6*a - 20 = 0. Let d be (a - 0 - 2)*1. Let s be 1*(-1)\/2*d. Let t(y) = y**3 - 1. Determine s*r(u) - 5*t(u).\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/640 and 151\/1730004.\nAnswer: 276800640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179642 + 46192 = -50*k. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6368, 12744, 19124, 25508, 31896?\nAnswer: 38288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*v**3 - 2575*v**3 - 549*v**3 - 267*v**3)*((5*v - 7*v + 5*v)*(-2 - 2 + 3) - v - 4 + 4).\nAnswer: 13484*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1875883 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 259, 509, 761, 1015, 1271?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-70)\/(-6)*(-2622)\/12. Let y = -2563 - s. Let t = 45\/34 + -751\/272. Find the common denominator of y and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 6*l**2 - 5*l - 1. Let i be q(4). Let y be 2\/((-2)\/(-3)*1). Suppose y*f = -2 + i. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13696, 27465, 41234, 55003, 68772?\nAnswer: 82541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -16, 0.\nAnswer: -16, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by 112.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -70 - 1153.\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -z - 3*f - 3, 5*z = f + 5. Suppose z*d - 1310 = 5*d. Let x = 478 + d. Calculate the highest common factor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 41989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 916340651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 greater than or equal to -3891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 0*l**3 - 3 - 15*l**3 + 1 in the form m + c*l + s*l**3 + a*l**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 16*g. What is p(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**2 + 217*w - 5817. Determine n(56).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*q**6 - 3616*q**5 - 695*q**3 - 747518720*q**2 wrt q.\nAnswer: -960*q**3 - 216960*q**2 - 4170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.12, 37, 2, -613, -0.4, 2\/13 in decreasing order.\nAnswer: 37, 2, 2\/13, -0.12, -0.4, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/(-25) - (-7134)\/(-15). Let x = w - -173. Let t = x - -447. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + -14. Let p = 80 + i. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 240193200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p - 1. Let h be v(-1). Suppose -7*d + 5*d = -6. What is the second derivative of -2*u - 3*u**2 - d*u**5 + h*u**2 + 3*u**2 wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 9\/83, 0.2, 26971, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16000969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**1)**(1\/7)*(y**(-1))**40 assuming y is positive.\nAnswer: y**(-279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2832563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -86*i - 2. Let g(u) = -81*u - 3. What is 3*g(c) - 2*l(c)?\nAnswer: -71*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -23*n + 2. Let z be c(2). Let g be (-3714)\/(-40) + 11\/z. Let k = g - 419\/5. Find the common denominator of -27\/4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 178a - 2?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -39, -144, -355, -708, -1239, -1984?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369143 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-209)\/44)\/(1\/(-4)). What is the greatest common factor of v and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 2\/11, 6\/13, -1\/1062?\nAnswer: -1\/1062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -1\/14, -1\/36, -2.1, -4, 5, 1?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6\/5  (b) -36.77  (c) -24\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 518*f**3*h**3 - 3267820*f**3*h**2 - 49*f*h**4 + 2*h**4 wrt h?\nAnswer: 3108*f**3 - 1176*f*h + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36\/(-3)*((-2 - 0) + 1) and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2. Let j(g) = -g + 38. What is 2*d(b) + j(b)?\nAnswer: -b + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20820, -40356, -59892, -79428, -98964, -118500?\n\"Answer: -19536*w - 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -149842*o**2 - 85396 with respect to o.\nAnswer: -299684*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 345194969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21868432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -146, -295, -444, -593, -742, -891?\n\"Answer: -149*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1391\/(-214)*(-15)\/78*-8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/3 + (-2)\/(-6). What is the derivative of -19 + 15*w**3 + 2*w**f + 8*w**3 wrt w?\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00074231 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 220\/(-72) + -1 - (-40)\/(-180)*-18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.315 + 0.215. Does 185 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1024771963 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, e: 12}. Give prob of picking 1 h and 1 e.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108596*r**2 - 180422*r**2 + r - 12 + 0*r.\nAnswer: -289018*r**2 + r - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40 (base 13) to base 12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-10))\/(18*12\/1620).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1280 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5+-472\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4907322?\nAnswer: 2, 3, 7, 17, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -2401175\nAnswer: -7203525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31.33795 + -32.538. Let j = -292 - -293.2. Let w = p + j. Round w to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 236 and 8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7519514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -129451 or -906160\/7?\nAnswer: -906160\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 20*d - 6. Determine k(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**2*(r*r**5)\/r)\/(r**5\/r**(1\/9)))\/(r**4\/r**(-2\/13)*(r*r*r**(-1)*r)**(-15)) assuming r is positive.\nAnswer: r**(3271\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -245*w + 317. Give u(2).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/1946425 and 5\/7.\nAnswer: 13624975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54)\/(-12) + -3 - (-50317)\/(-1502).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -11*h**3 - 8*h**2 + 43. Suppose 3*d = -6, 5*p + 19 + 17 = 2*d. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v - 4. Let s be u(9). Which is the second smallest value?  (a) -4  (b) 0  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4c072 + 30?\nAnswer: -4c042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.09?  (a) -3\/2  (b) 0.0496  (c) 2\/7  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-15)*108\/24*272\/51\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 405597 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 8*i + 4. Let j be x(-8). Solve -4*d**3 - 2*d - j*d**2 + 4*d + 6*d = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, e: 3, m: 5, q: 1, w: 1}. Give prob of sequence ecem.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (132\/(-9))\/11*180\/(-640).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -202, 1, -2.\nAnswer: -202, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -205157, -205153, -205149?\nAnswer: -205145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 312 by -1556196.\nAnswer: -26\/129683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*0.07871785.\nAnswer: -0.3148714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -14.4. Let n = -41.9 + 40. Let c = n + i. What is the second smallest value in c, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/15*(-1 + 0). Let a = 10617\/5 + -2130. Let o = a + 29\/5. Sort -2, s, o in descending order.\nAnswer: s, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 16*v**3 + 21*v**3 + 3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11 - 24b72?\nAnswer: -24b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 181, 82 in decreasing order.\nAnswer: 181, 82, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1105.28 + 1081. Let q = 24.7 + o. Is -1\/4 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51017 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 25452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1291 a factor of 382241926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*d**2*j - 2*d**2*w + 5*d*j*w + 344*d - 39*j*w with respect to w.\nAnswer: -2*d**2 + 5*d*j - 39*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4275, -8559, -12843?\nAnswer: -17127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-278)\/(-834) + 5\/(-6). What is the closest to o in -3, -5, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55.5 times -2.9\nAnswer: -160.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (((-21840)\/(-26))\/(-14))\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9667342.8738 + -9666425. Let a = m - 918. Round a to 3 decimal places.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 5, -6*m - 3584 = -x - 9*m. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4 = -0*g - 4*g, -3*g + 2*v - 2 = 0. Let f = -41\/84 - -5\/21. Let z = 1 + -1. Which is the closest to -0.2?  (a) z  (b) g  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 57787, 57783, 57777, 57769, 57759?\n\"Answer: -s**2 - s + 57789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 4\/183?\nAnswer: 4\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/24*2*(-27)\/12. Which is the closest to 46?  (a) 3  (b) -1\/6  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n - 3. Let s = 3 + 2. Let o be c(s). Factor -m**4 + 6*m**2 - 4*m**o + 4*m**5 - m**2 - 4*m**3.\nAnswer: m**2*(m - 1)*(m + 1)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 65083 or 65090?\nAnswer: 65083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - o - 36. Calculate the highest common divisor of o and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -7 - ((4 - 4) + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -3*j + 13. Let v be p(6). What are the prime factors of ((-36)\/v)\/(8\/60)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 2:37 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 811721.7 centuries?\nAnswer: 81172.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 192224412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**2\/3 - 446*q\/3 + 1392 = 0 for q.\nAnswer: -232, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 2)*(2 - 2 + 2)*(-7*z + z + 3*z).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bblg. Give prob of picking 1 l and 2 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78764642?\nAnswer: 2, 11, 3580211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2592*j - 1 + 1930*j + 5680*j.\nAnswer: 10202*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/19?  (a) 0.1  (b) 1\/5  (c) -2\/5  (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 21 = -3*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 0*m**3 + 0 + 0*m**6 + 41\/24*m**4 + 0*m**5 + 0*m + 0*m**7 + 17\/336*m**8 + 2*m**2. Find the second derivative of f(u) wrt u.\nAnswer: 340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r*r**(2\/9)*r)))\/(r\/(r**0*r))*(r**(-1\/3)\/r)**(1\/2)*((r**(-1\/2)\/r)\/r*r\/r**(-1\/3))**(-6) assuming r is positive.\nAnswer: r**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-2\/39))\/(d*d\/d**28)*(d*((d\/(d*(d\/((d\/(d\/d**(-6\/7)))\/d*d))\/d))\/d*d*d)\/d)\/d**30)**(-28) assuming d is positive.\nAnswer: d**(3064\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -1. Let x be g\/6 - 340\/(-24). Calculate the highest common factor of x and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17186592 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000048253 rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*p + 248, 0*c - 2*c + p - 451 = 0. Let w = c - -482. Suppose 41 = 5*i - w. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -166 at least as big as -164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2 - 52*k + 288. What is n(19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5480845638 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 112777576 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 0*r - 14. Let a(g) = -15*g + 22*g - r*g. Let d(x) = 5*x - 7. Let n(k) = -2*k + 2. Let s(c) = 4*d(c) + 14*n(c). Determine -7*a(b) + 6*s(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16192 divided by 506.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of -1038*o**5\/5 + 1279*o**2\/2 + 71. Find the second derivative of k(i) wrt i.\nAnswer: -12456*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 108 by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p**3 + p**2 - 1. Let k(y) = -y - 3. Let l be k(-4). Let u be n(l). Let f = u - -2. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1388 equal to -988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(704) - 3*sqrt(704)*2)**2.\nAnswer: 52800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 25 = -0*f. Let h = 0.6499 - -3.3501. Which is the closest to 2?  (a) 0.3  (b) h  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 563196 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.977 * 0.4.\nAnswer: 1.5908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00008301 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29693 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 42\/13  (b) 0.3  (c) 3\/2  (d) 32  (e) 2\/5  (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 597 divided by -199\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -20 + 5. Suppose g + 2*f - 422 = -g, 0 = -4*g - u*f + 844. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a millennium in decades?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 11*m**2 + 5*m - 8. Let r be a(-10). What is the highest common factor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + s. Suppose -5*r + s*r = -15. Solve -r*u + u + 10 = 0, -4*f + 3*u = 31 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18695 less than -0.5?\nAnswer: -18695.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33, -39, -55, -87, -141, -223?\n\"Answer: -n**3 + n**2 - 2*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -22*q**2 - 8*q - 22. Let d(l) = -21*l**2 - 6*l - 17. Let t(f) = 4*d(f) - 3*p(f). Let v(r) = 2*r. Give v(t(k)).\nAnswer: -36*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.484 + -1843680.\nAnswer: -1843673.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.829 + -0.529. Which is the second smallest value?  (a) y  (b) -0.1  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2203031 (base 4) in base 15?\nAnswer: -3165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 6 = 2*d, 5*j - 59*d = -67*d - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 386 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -5*h + 98. Let z be s(20). Let a be 8\/20*(-5)\/2*z. Solve t - a - 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yysud. What is prob of sequence yu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 2:53 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.6795 and -6.\nAnswer: -4.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i + i**2 + 3*i)*(-2*i**2 + 13*i**2 - 4*i**2) to h + z*i**3 + y*i**2 + u*i + k*i**4 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4 = -0. Suppose 2*v = j + 14, 0*j = 2*j + c*v + 4. Let t = j - -9. Sort t, -4, -5 in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 3*f + 1. Let t = 2 - f. Suppose 90 = t*c + 30. Calculate the greatest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3, -58, -161, -318, -535, -818, -1173, -1606?\n\"Answer: -x**3 - 18*x**2 + 6*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 5*k + 30 = 6*m, -5*m = -k - 22. Suppose -5*s + 2745 = -2*c, -m*s = 2*c + c - 2173. List the prime factors of s.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 12642 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-450)\/(-44)*(-36)\/(-54).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8222330339 to the power of 1\/3, to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -x + 6, -2*x + 3*x = 5*d + 22. Find the second derivative of -2*j**x + 8*j**2 + 2*j**2 + j + 5*j wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s. Let d(x) = -x**2. What is q(d(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*l = -5*a + 29, -2*a + 2696 = 2*l + 2686 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/34 + (-10)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 12*v - 8. Let s(i) = -i**2 + i + 1. Suppose 0 = -5*y - 5*l + 20, -3*y - l + 2*l + 4 = 0. Let q(n) = y*s(n) + u(n). Does 10 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 87898 - 70.\nAnswer: 87828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.23 * -6\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13816 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from mypppwpyppipppppip?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21889\/3304 + 1 + (-8 - 0)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 3:59 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -11065710 (base 8) to base 15\nAnswer: -32235d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, j: 3, c: 3, s: 4}. Give prob of picking 2 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10682990 and 3340.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -6 - (40 + 2 + -30 + 13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from cpkckpkkckppcpkkkc.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/3  (b) 1  (c) 1\/13  (d) 395  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - r. Let q(o) = -2*o**3 + 5*o**2 + 6*o + 5. Let z(y) = q(y) + t(y). Is z(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -15750003*u + 39. Let g be w(12). Let f be 5\/35 - g\/21. Round f to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -5, 0, -4898, 2\/3, 4 in descending order.\nAnswer: 4, 2\/3, 0.4, 0, -5, -4898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - 0. Let p = 4 + t. Factor -1 - c + c**2 + c**3 - p*c**3 + 2*c.\nAnswer: -(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1962725 rounded to the nearest 1000?\nAnswer: -1963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2302 and -82?\nAnswer: 2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13977154 to the power of 1\/2, to the nearest integer?\nAnswer: 3739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w + 31. Let l be n(8). Suppose 33 = 2*u - l. Suppose 0 = 5*p + 3*y - 60, -8*y - u = -3*p - 12*y. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (68\/51)\/((-3)\/(-774)*4). Suppose -93*y + t*y + 1449 = 0. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2)*n*n**9*n*n*n)**(-5) assuming n is positive.\nAnswer: n**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q - 2*q - 5*m = -16, -5310 = 2*m - 5314 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67 + -46. Suppose -5 = 2*s - q. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-19))**(2\/39) assuming d is positive.\nAnswer: d**(40\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f. Let t(i) = -15*i. Let a = -19 - -17. Let m(b) = a*t(b) + 27*p(b). Let u(k) = -16*k**2. Determine u(m(q)).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5\/623 - -4227\/216181. Let l = -706\/1041 + c. Which is bigger: -444 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 6*x**2 - 9*x - 19. Let s be p(-4). Suppose 2*m - s = m. Let a = m + 14. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28389.12 centimeters in micrometers?\nAnswer: 283891200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -44418 + 44417.99999908607. What is i rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4151*v**4*y - 2*v*y**2 + 11599*y**2 wrt v.\nAnswer: 16604*v**3*y - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s = 4*q + 44 - 74, 4*q - 3*s = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11001 - 101?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010111110111101 + 1000000110?\nAnswer: -10010110110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-114)\/(-42) + (-3)\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -73 + 38. Let n = 53 + k. Let x be n\/4 - (-4)\/(-8). Solve -4*o = -p + 7, x*p = 6*o - 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 5548656*w**5 + 8322936*w**4 - 21847905*w**3 + 9016755*w**2 - 1040451*w + 9 = 0.\nAnswer: -3, 1\/115597, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4042 + -3417. Calculate the smallest common multiple of x and 25.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 AM and 7:55 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11*(-3 + 5 - 3). Let m = x + 8. Let p(s) = 0*s - 1 + s + 3. Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 25 + 7 + -11 + 0 + 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yb when two letters picked without replacement from bbbbkyybyk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1459.1+-3174.7592\nAnswer: -1715.6592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that k**2\/2 - 36371*k\/2 + 181805 = 0.\nAnswer: 10, 36361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - 5*w - 4. Suppose 24 + 2 = 2*z. Suppose 5*g - z = -o + 2*o, 16 = 5*o + 2*g. What is the remainder when d(-3) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84 and 25988214?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*l + 28, 0 = -w + l - 4*l + 12. Let c = w + 31. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 10:29 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 324024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -79, -78, -79, -82, -87?\n\"Answer: -q**2 + 4*q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4704 and 321312.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6672.3 plus 0.6865?\nAnswer: 6672.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 68, 135, 202, 269, 336, 403?\n\"Answer: 67*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 115772345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 4*l - 20, -2*s - 2*l = -l - 5. Let f be 129 + s*(-3)\/6. Suppose 2*p - 5*p = f. What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2901749 a multiple of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*a + 60*a = -93. Let d(w) = 49*w + 3. Let m(c) = 24*c + 2. What is a*d(j) - 5*m(j)?\nAnswer: 27*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3060?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-4)\/q*q**7*q*q\/((q*q**(2\/25))\/q)*q*q*q**(-1\/3))\/((q**(-2\/9)\/q)**13)**(1\/16) assuming q is positive.\nAnswer: q**(23687\/3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011111 (base 2) in base 9?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23 and 846607.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 4 = 16. Suppose -r = -j + 1. Suppose 0*n - 11 = -11*n. Sort j, -0.1, n in increasing order.\nAnswer: -0.1, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -6*b + 3. Let h = 7 + -11. Let k be j(h). Suppose -2*a + k = -0*a - 3*i, 4*i + 1 = a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*v + 10*v - 4*i + 4, -5 = -2*v + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4a - -4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 - -89\/3. Suppose y + 114 = 116. Which is the biggest value?  (a) r  (b) -4\/5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 24*i + 4. Let a be c(3). Let d(m) = m**3 - 3*m**2 - 5*m + 6. Let t be d(4). Suppose -2*u = t*h - a, h + 3*u = 3*h - 56. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6297977489 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 34170 + -200?\nAnswer: 33770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1580 divided by -4?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -3*f**2 - 5*f. Suppose 0 = 4*y - 3*y - 3. Suppose c = y*c. Let q(k) = 7*k - k**2 + 5*k**2 + c*k**2. Give 7*m(a) + 5*q(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 9:51 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/8 or -13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**4\/24 - 4*x**3 + 23*x**2 - 381*x. Find h, given that w(h) = 0.\nAnswer: 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47 + 212. Suppose 14*l = 19*l - o. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -47, -26, -5, 16, 37, 58?\n\"Answer: 21*m - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 2\/15, -1\/7.\nAnswer: -13, -1\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-9) + (-15)\/(1080\/243904). Let b be o\/(-21) - (-2)\/3. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 804 + 2?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34229668 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 63*-3\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/224*(-16 - 3) + 6*1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210100 (base 3) in base 9?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v. Let z(w) = -6*w. Let d(n) = -5*c(n) + z(n). Let y be d(-2). Suppose 6*s - y*s = 116. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 9063?\nAnswer: -1\/3021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 560586 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(6\/(-13))*-2. Let t be (-4)\/(-10) + ((-82056)\/(-20))\/13. Suppose u*d - 17*d = -t. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -36 greater than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2767428 <= -2767393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1)*y)\/y)**(-1\/31)\/(y**(-2\/5)\/y*y*y*y)**(-3\/26) assuming y is positive.\nAnswer: y**(437\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58294 is divided by 596.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1186, -1186, -1184, -1180, -1174, -1166, -1156?\n\"Answer: s**2 - 3*s - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2906 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*m + 47 - 47 + ((m - 2*m - m)*(-2 - 4 + 4) - 3*m + 3*m - 3*m)*(0 + 5 - 3) in the form s + y*m and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 14\/(-10) + 3 - 6\/10. Let u = 130 + t. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(2\/9)\/l))**26*(l**(-10)*l)**42 assuming l is positive.\nAnswer: l**(-2986\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 200.9, -3, -314?\nAnswer: 200.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -580767 + -30388.\nAnswer: -611155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4520*n**2 - 20*n - 1411. Let t(y) = -2259*y**2 - 8*y - 707. Let x(l) = 5*t(l) - 2*w(l). Differentiate x(k) wrt k.\nAnswer: -4510*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**3 + 3*j**3 + j**3)*(-1 + 1 + j) - j**4 + 4*j**4 - j**4 + 2*j**4 - 2*j**2 + 2*j**2 - 6*j**4 - 8*j**4 - 3*j**4.\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, s: 4, t: 3, y: 5}. What is prob of picking 4 y?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -22, 7, 343, 9, 30 in ascending order.\nAnswer: -22, 5, 7, 9, 30, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 0*k + 9 = 0. What is the second derivative of m - k*m**3 - m - m - m wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v + v**3 - 5*v + v**3)*(-2*v - 5*v + 2*v).\nAnswer: -10*v**4 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -430*m**4 - 42564*m**3\/11 + 383184*m**2\/11 - 639036*m\/11 + 810\/11 = 0. What is m?\nAnswer: -15, 3\/2365, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 96 + -95.946. Let h = b - 6.054. Sort h, -1, 1\/5 in decreasing order.\nAnswer: 1\/5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 6*a**2 + 7*a - 12. Suppose 4*j - 37 = 63. Calculate the remainder when g(4) is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(4 - 3 - 2)*(-l**3 - 37*l**3 - 18*l**3).\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 6*h**3 + 50*h**2 - 70*h - 70. Let k(v) = 5*v**3 + 39*v**2 - 69*v - 70. Let o(f) = -4*k(f) + 3*l(f). Factor o(q).\nAnswer: -2*(q - 5)*(q + 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7671\/10 + -767. Let q = -50 - -48. Let y(c) = c**2 + 4*c + 2. Let f be y(q). Put f, 4\/9, l, -0.3 in descending order.\nAnswer: 4\/9, l, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h*h\/h**37*h*h))\/(h\/((h*h\/h**(-28))\/h)*h))**30)**(12\/5) assuming h is positive.\nAnswer: h**4392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -z**4\/6 - 7*z**3\/6 - 27*z**2. Let h be s(-3). Solve -2*p - 27 = h*c + 8, 0 = c + p + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/5)\/q*q**(-6\/7))**(2\/15)\/((q*(q**(-3)\/q)\/q)**(5\/6))**(-46) assuming q is positive.\nAnswer: q**(-80644\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*g = 217*g - 665 - 63 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -904*w + 4?\nAnswer: -904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/47411464 and -55\/28.\nAnswer: 331880248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 14225684 - -4?\nAnswer: 14225688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -z**5 + 57587*z**4 - z**3 - 887604*z**2 wrt z.\nAnswer: -60*z**2 + 1382088*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/81 - -778\/81. Let q be ((-2)\/(-3))\/(5\/(-15)). Calculate the common denominator of (-177)\/(-45) + q\/6 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) - -2*(sqrt(2057) + 1 + sqrt(2057))) + sqrt(2057))**2 - (2 + sqrt(2057))*1.\nAnswer: 297*sqrt(17) + 100795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 33  (b) -2  (c) 2\/15  (d) 4\/5  (e) -1\/6  (f) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**4*l\/l**(-2\/5))**44\/((l**(2\/7))**(-1\/8)\/(l*l*(l*l**(-1\/10)\/l)\/l*l\/(l\/((l*l*((l\/((l\/l**(-4))\/l))\/l)\/l*l*l*l*l)\/l))*l)) assuming l is positive.\nAnswer: l**(6707\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 29*y - 31*y + 2429, -3*y = 3*c - 3645. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u + 22949 + 23032 - 45984.\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2228667?\nAnswer: 3, 7, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 3387258.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 275 divide 17734750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 11544 (base 13) to base 8\nAnswer: 75653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) - (0 + sqrt(468))) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/5))**(1\/11)\/(a**(-4)*a**(-1\/8)))**(-15) assuming a is positive.\nAnswer: a**(-5493\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 702 - 530. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00015302416 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -25, -13, 3, 23, 47, 75, 107?\n\"Answer: 2*o**2 + 6*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*-9 - (-7)\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36 + 35.66. Let k = b + 0.61. Let z = k + 0.25. What is z rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 0, -32, -122, -300, -596?\n\"Answer: -5*m**3 + m**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 11 - (0 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9669247 divided by -1369\nAnswer: 7063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -22 + 16 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -13. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 248251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 AM and 11:45 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + 4*x + 3*x)*(-2 - 1 + 0)*(-1183 + 908 + 601)*(4*x**2 - 5*x**2 + 2*x**2).\nAnswer: -8802*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 r, and 2 x when four letters picked without replacement from {o: 5, x: 2, h: 1, r: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {u: 3, e: 6, s: 3, v: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -q - 4*b, 0 = 4*q + 2*b + 22 - 36 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1629094\/735 or 2215?\nAnswer: 2215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3822 and 2271?\nAnswer: 2893254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 17 = -3*q, -90*y + 44 = 4*q - 94*y for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, c: 4, a: 3}. Give prob of picking 2 f and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 25 = 26. What is the remainder when 100 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 3 - 4 - 4 = -2, -45*g + 83 = -3*r - 50*g for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 5*f**2 + 3*f - 3*f. Suppose -2*d + 8 = -2*s + 2*d, -s - 2*d = -8. Let w(i) = -14*i + i**s + 14*i. What is h(w(z))?\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 3*g**3 + g**2 - 3*g - 3. Let s be l(-1). Let i(w) be the third derivative of w**6\/120 + w**5\/30 - w**4\/12 - w**3\/2 - 8*w**2. Calculate i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-31)\/(-6))\/(9\/6 + 2) and -83\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1163*n - 5*j = -1146*n - 51, -2*j - 6 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.084 + -163.084. Let x = l + 162.929. Round x to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-5) - (-6)\/(-15). Suppose c*x + 4*p + 325 = 5*x, -3*p + 195 = 3*x. What is the greatest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1104*v = -183*v + 194*v + 21860 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45249 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7690*r + 180*r**3 + 7690*r - 63*r**2 + 17*r**2.\nAnswer: 180*r**3 - 46*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 4\/113590469?\nAnswer: 4\/113590469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*g + 8*c + 4 = 10*g + 7*c, -4*c = 32 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15776368 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 30\/(-2 - (-57)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/8 and -95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = 2*g + 11, 20*g + 2 = 18*g + 4*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y - 15*y + 45 = 0. Does 10 divide y*(-1 + (-214)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/15189 and -103\/6.\nAnswer: 30378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9605 + 15115 + 20131 - 2818 - 3673)*(s - 2*s + 3*s)*(2*s**3 + 0*s + 0*s).\nAnswer: 153440*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**6*s**3\/s*s)\/(s**(7\/4)\/(s*s**(1\/6))))\/((s*(s\/(s\/(s*s*s**10*s)*s))\/s*s)\/((s**(-10)\/s)\/s))**(-1\/38) assuming s is positive.\nAnswer: s**(2069\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -323013212221 (base 4) to base 12\nAnswer: -5234661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - w + 60 = -4*b, -b + 15 = 2*w. Let j(g) = g. Let y(p) = -14*p. Let n(c) = w*j(c) + y(c). Let v(l) = 4*l**2. Determine v(n(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1013 a factor of 1417816578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -173533 to the nearest 1000.\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 18.256639 + -1\nAnswer: 17.256639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 8*r**2 + 44*r - 59. What is l(8)?\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/44864768 and 5\/40443?\nAnswer: 134594304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 1.05. Let x = a + -4.95. Let y = 0.6 + 0.4. Put 5, x, y in decreasing order.\nAnswer: 5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.53 - -0.63. What is the nearest to m in -1\/2, 1, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7322 - -7326. Which is the third biggest value?  (a) 3  (b) -28  (c) k  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/43 - -95\/387. Factor 2\/9*f**2 + 2\/9*f - 2\/9*f**3 - z.\nAnswer: -2*(f - 1)**2*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1732.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-27)\/16)\/(-39 - (-313)\/8)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 4*l + 4. Let q be m(-4). Let c = 13 + 7. Solve -h - q*h = -c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 7) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49792837417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -75*j**2 + 465*j - 27. Determine d(11).\nAnswer: -3987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 2*x + 648, 7*x - 4*x = 4*l - 523. Suppose 4*d - l = -30. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 2:26 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5037 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 - 13 = 8*f. Suppose 4*n = -4*y + 8, -f*n + 4 + 2 = 4*y. Solve 3 = 3*v - 5*j, y*v + 5*j - 1 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s be 11650\/550 - (-2)\/(-22)*2. Calculate the least common multiple of 9 and 420\/s + (4 - -1).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9801, 15449, 21097, 26745?\nAnswer: 32393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 at most as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 71*w - 25. Let q(x) = 47*x - 17. Let v(y) = 5*n(y) - 8*q(y). Let i = 0 - -10. What is the smallest common multiple of i and v(0)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(-2) + 1)*0. Let n(x) = x**2 - x + 3362. Let f be n(v). Suppose 9 - 4 = 5*m, 2*m = 4*p + f. What is p rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 2*k - 5\/6*k**3 + 0*k**4 + 2*k**2 + 0 - 1\/20*k**5. Let m(y) = -y**3 - 4*y + 3. Determine 3*d(i) - 4*m(i).\nAnswer: i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 12 = -j. Suppose -28 = -5*l + 3*t, -3*l - 2*t + 18 = -5*t. Let o be (-3)\/18*(-21)\/14*(-6 + (-24)\/(-4)). Solve x + l - j = o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122524 (base 10) in base 5?\nAnswer: -12410044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*u + 17 = -4*b, u + 5*b = -24. Let h(r) = 6*r - 1. Let d be h(u). Find the third derivative of -5*y**4 - 29*y**2 + d*y**2 - 9*y**2 wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -2*s + 38. Let o be x(8). Suppose 0 = -o*y + 19*y + 810. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1 + sqrt(2736) - sqrt(19)) + -4.\nAnswer: -6 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7\/2990 - 12009\/20930. Let t = -3 - -3.5. Sort b, 1, 3, t.\nAnswer: b, t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 36\/51*-3 + 1 + 1. Let v = 10.9 - 10. Let t = -1 + v. Does t = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 0.1, 0.05, -40?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1432\/34 - (-6)\/(-51). Calculate the greatest common factor of 105 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 d when four letters picked without replacement from ddtdaaddddhcdacdt.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1775342692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k + 4*k**2 + 2 - 5*k - 2*k**2 + 0 + 0 + 0*k**2 + 2*k**2 - 4*k**2 + (-3*k + k + k)*(-1 - k + 1) + 2*k**2 + 4 - 4 - k**2 - 2*k**2 + k**2.\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 + (-2 - 0)\/(-2) - -39. Find the second derivative of -15*w**3 + 4*w**3 - 120*w - 7*w**3 + q*w wrt w.\nAnswer: -108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of a**2 - 5. Let h(f) be the first derivative of -1\/2*f**2 + 0*f + 1. Give h(w(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/34460 and -99\/11716400?\nAnswer: 11716400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 262\/6 + 2\/(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 8:44 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21196.64 + 21196.09299864. Let o = 0.547 + d. Round o to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2680 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwbbbbwwwbb. Give prob of sequence bwww.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 - (2 + -1)*-5. Let t(q) = 10 + u*q + 1 - 2*q. Let d be t(-10). Solve 2*b + 2 = 3*p, b - 5*p = -0*p - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 21 = -3. Which is the third smallest value?  (a) -1\/13  (b) n  (c) -2\/9  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 48 and (-130)\/16 + (-60)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-3) - (-26)\/(-13).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 390 - 1734 = -12*t. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 773363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.8 - 2. Suppose -2*h - 3*h = -5, -4*n = 5*h + 27. Let y be n\/(-6)*9\/6. Put 5, g, y in ascending order.\nAnswer: g, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/8*f**4 + 63\/8*f + 75\/8*f**2 + 9\/8*f**3 + 0.\nAnswer: -3*f*(f - 7)*(f + 1)*(f + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddhdddddddddddddd. Give prob of picking 1 d and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 9 + 6 = 0. Suppose -7 = 2*q + h. Let t(k) = 2 - 2*k - 2*k + 1 + k**3 + 4*k**2 - 1. Give t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -103, -204, -305?\n\"Answer: -101*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 35665 (base 8) to base 13\nAnswer: 6c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/19  (b) 7  (c) 1\/3  (d) -3479  (e) -1  (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -10.14, -0.21, -10 in decreasing order.\nAnswer: -0.21, -4, -10, -10.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 4*t**2 - 9*t. Let a(s) = -s**2 + s. Let v(u) = 6*a(u) + g(u). Let q(m) = 2*m**2 + 2*m. Determine -3*q(k) - 2*v(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -7*q**3\/3 - 22*q. Let c(s) = -3*s**2. Give c(a(w)).\nAnswer: -588*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/(4*sqrt(8)\/sqrt(2)) - ((sqrt(7) + -1)*-4 - sqrt(7) - sqrt(14)\/sqrt(18)).\nAnswer: -4 + 67*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 3) + -2 + -36. Let z = m - -70. Suppose z = w + w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 99800896 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/9  (b) 0.1  (c) 5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7 * 3159.\nAnswer: -2211.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 3*r - 4, 0 = 420*d - 28*r + 31*r + 828 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2330, 701, 10 in descending order.\nAnswer: 701, 10, -2330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 161 is divided by 114.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of p**4\/3 - p**2\/2 - 7*p + 2. Determine z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z**2 - 88*z - 13. Is 4 a factor of a(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, 445.8, -3\/8, 1113?\nAnswer: 1113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 18*g**3 + 2*g**2 + 19*g**3 - 48*g**3 to the form y*g**2 + s*g + c + p*g**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29277964*f**2 + 22*f - 156654?\nAnswer: 58555928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 19 - 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 185?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6873 + 6897. Solve -a*l + 49*l - 125 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 6*4*(-2)\/12 - -34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 265793 and 6424?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.5 times 5044?\nAnswer: 406042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33572, -67091, -100566, -133997?\nAnswer: -167384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -1727?\nAnswer: -1727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**2. Suppose -4*x - 10 = -6*x. Suppose -y - 4*o + 5 = -1, 0 = x*o - 10. Calculate k(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**3 + a**2 - a. Let j be w(1). Let p be 9\/(-6)*(68\/(-12) + j). Put p, -5, 12, 1 in ascending order.\nAnswer: -5, 1, p, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 6) to base 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 - 3. Let h(m) = 1080*m**2 + 216. Let p(r) = h(r) + 72*z(r). Let o(a) = 2*a**2. Calculate p(o(v)).\nAnswer: 3744*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 875*w = 884*w - 288. Suppose r + w*f - 28*f = 776, -3*r - 2*f = -2338. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, a: 7, b: 5, v: 5, c: 1}. What is prob of picking 1 v, 1 b, and 2 a?\nAnswer: 175\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**5 - 824*w - 2 + 67*w**4 + 824*w + (2 - 2 + w**3)*(2 - 2 + 2*w**2).\nAnswer: -w**5 + 67*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-26))\/(6\/(-104))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 86583 + -59359. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00056932 to six decimal places.\nAnswer: 0.000569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 2*x - 36, -3*v + 3*x - 5*x + 96 = 0. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -1 - 74 + 75*l + 79*l**2 - 75*l**2 - 15*l**3 + 71*l**2. Let o(v) = v**2 + v - 1. Calculate 75*o(a) - u(a).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5225\/3 - (-8 - 4)\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5136 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/905 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 665 + -665. Let j be (-172)\/(-8) + 2\/4. Let w be (-35)\/11 - (-4)\/j. Sort -5, y, w.\nAnswer: -5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94875, -377922, -849669, -1510116?\nAnswer: -2359263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-84)\/((1\/6)\/(12\/(-18))). Suppose -3*t = 2*p - g, -10*t - 4*p = -5*t - 562. What is the highest common factor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 4881\nAnswer: -10\/4881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1439?  (a) 1\/4  (b) 0  (c) -6  (d) 4  (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15053\/1980 + -322\/99. Let o be 3\/6*-2387 - 0. Let y = -1244 - o. What is the common denominator of n and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-18))\/(4\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 46*f**2 - 17*f - 11. Let a be c(-1). What is the highest common divisor of a and 3796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d. Suppose -8*k - 105 = -97. Let a(u) = 14*u**2 - 4*u. Give k*a(p) + 4*v(p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.28, -5, -102?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 7:37 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 446847*p**2 - 3*p - 448052*p**2 + 9*p to the form r*p + w*p**2 + z and give w.\nAnswer: -1205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 456001 - 16.\nAnswer: 455985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 80688?\nAnswer: 80683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 AM and 6:48 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2588 + -1501. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 3*d + d)*(2*d + d + 0*d) - 7*d**2 - 2 + d + d + 10*d**2.\nAnswer: 9*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 32*a - 700. Let i be u(22). Solve 4 = -4*c, i*c = -5*p + c - 28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.41893 in 1, 59, -2\/11, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 11:45 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 284200 divided by -145.\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -a (base 16) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22249 is divided by 113.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w**2 - 415*w - 2278. Calculate b(90).\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-72)\/60*155\/(-682).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - y - 4 - y - 3 + 3 + y + y - y - 3*y + 2*y + 0*y + (0 - 2 + 4)*(4*y - y - y) + 4*y + 0*y + 2*y + (-103*y + 10*y - 8*y)*(11 - 23 + 9).\nAnswer: 311*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1582*v + 1570*v = -132. Suppose 0 = 4*h - 0*h - 348. What is the remainder when h is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 3:28 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 2 + -2 + 20 - -2?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -f**6\/120 - 2*f**5\/15 + 4*f**3\/3 - 12*f**2 - 22*f. Suppose 0*z + 14 = -2*p + 2*z, 2*z = -5*p - 42. What is x(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (2 - 2) + -10 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1212 is divided by 1197?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.5 + -3.5. Let d(t) = -t**3 - t**2 + t + 5. Suppose 0 = 2*j + 3*j. Let y be d(j). What is the closest to -0.1 in i, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/16*2*5. Let o(x) = -6*x + 60. Calculate the lowest common multiple of o(u) and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uwu when three letters picked without replacement from lsdumwu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2128 - -2742.4. Round q to the nearest 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b + 2*b + 70 - 70. Let a(n) = -2*n**2 - 2*n**2 - 2*n**2 - 3*n**2. Let z(v) = 19*v**2. Let t(m) = 13*a(m) + 6*z(m). What is o(t(h))?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/7 in 1, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 277307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6044.492*0.84\nAnswer: 5077.37328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*k + k. Calculate the remainder when k is divided by -2 - -4 - 1\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*q - 116*q + 4288 = -6464. Calculate the remainder when q is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*j + 0*j + 2*j)*(-2 - j + 2)*(1 + 2 + 0)*((-2 - 1 + 4)*(-393 + 393 - 20*j) + 3*j - 2*j + 0*j) to the form y*j + h*j**3 + o*j**2 + x and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 26, 51, 0, 6, -5, -4 in increasing order.\nAnswer: -5, -4, -2, 0, 6, 26, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 78*h - 80. Let k(i) = i**2 + 156*i + 160. Let q(c) = -5*d(c) - 3*k(c). Factor q(x).\nAnswer: 2*(x - 40)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 227753162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a37 - -568a?\nAnswer: 7505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43537032 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41685\/76 or -548?\nAnswer: -41685\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5661, -5645, -5629, -5613?\nAnswer: -5597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, x: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 885 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 552 - 548. Solve 0 = -h*z - 2 - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = 3*d + 7, -58*z + 5*d + 1 = -59*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 3:49 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 73251 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.5 + -2. Let r = 100 + -99.7. Which is the third smallest value?  (a) 1.5  (b) o  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -568*i**3 - 573*i**3 + 1122*i**3.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -5*s - 90426, -59*t = -63*t + 3*s + 120568. Does 41 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 4*d + 0)*(3 - 2 + 1) - 2 + 2 + d + (0 + d + 0)*(0 + 1 + 0) to s*d + v and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 29461 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -117\/32, 2, 25, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 minus -3780?\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68 + 121 + 40*o - 60 to l + s*o and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -9. Suppose u - 20 = -3*u. Suppose r - 2*k - 3 = -3*k, -r + 9 = -u*k. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 6 + 45 - 17 + 2*n. Let p = -32 - -64. Calculate the least common multiple of h(-15) and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-11 - -11)*2\/6. Factor 2*i**2 - 3*i + i**2 + q*i**2.\nAnswer: 3*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.165 + -82392.22306.\nAnswer: -82392.38806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1790, -2, 5, -4, -3, 2.\nAnswer: -1790, -4, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -58*x - 344. Calculate q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -7.1. Let t = 3 + f. Let x = -1.32 + 0.12. Which is the biggest value?  (a) 4  (b) x  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 262.5 + -220.5. Which is the closest to f?  (a) 3  (b) -3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9084 = 4*p + 10876. Is 4\/(10 + -2)*p\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -414 - -369 - (-1 + -34) - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 86811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + 15*a - 8. Let y be m(14). Let p(g) = y*g - 4 - 5*g + 0*g. Determine p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -286 + 82. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 4*a + 17 = 0, -20 = 5*i - 60*a + 65*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -20\/149, -0.2, -159?\nAnswer: -20\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = n - 1, 2*n + 8*w - 3*w = 2. Let g = n - -4. Suppose -2*c + 2*v + 58 = c, -4*v + 104 = g*c. Calculate the least common multiple of 4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 14. Suppose 2*m + q = 7*m. Is 4 a factor of (16\/(-56))\/(m\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 103 = -4*l, 55 = 2*l - 0*w + w. Suppose 2*o = l + 7. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -128*(8\/728*7)\/((-98)\/637)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 16681 - -25486\nAnswer: 42167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -164*j + 165*j. Put j, -3, -17 in ascending order.\nAnswer: -17, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3955, -8396, -13297, -18652, -24455, -30700, -37381?\n\"Answer: b**3 - 236*b**2 - 3740*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5503160 (base 10) in base 12?\nAnswer: -1a14848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/13 + 20*j\/13 + 6.\nAnswer: -2*(j - 13)*(j + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-950)\/(-247) + 3*(-4)\/(-78). Let c be 103400022\/55 + p\/(-10). Round c to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 + 13 + 3*z - 10 to d + g*z and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*f + 52*f = 285 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 69*v**2 - v**4 - 2*v**3 - 68*v**2 + 2 to the form m*v**3 + a*v**4 + h*v + c*v**2 + y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/3 - -18)\/((-15)\/(-2)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*w**3 - 1 - 52*w**3 + 118*w**3 + 1.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 387083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/(-6))\/((-9472)\/(-2220))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or -47202\/379?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.08?  (a) -38  (b) 2\/15  (c) 2  (d) -0.044  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 2*v = -175 + 147 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q + 15. Let n be a(-12). What is the second derivative of -1187 + 25*l**n - 11*l + 1187 wrt l?\nAnswer: 150*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + ((26 - -12) + -12 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*o**3 + 652*o**2 - 652*o**2)*(2*o - 7*o + 4*o) - o**4 + 3*o**2 - 3*o**2 + (-3*o**2 - 2*o**2 + 3*o**2)*(3 + o**2 - 3) - o**4 + o**4 - 3*o**4.\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2*l**4\/7 + 1180*l**3\/7 - 8350*l**2\/7 + 4800*l\/7 + 14328\/7 = 0?\nAnswer: -597, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 218 - 164 = 0. Let i = -66 + 237. Calculate the highest common factor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from gglllaflaaflltlaaaff.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from adddddddddaardrdd. Give prob of picking 1 a and 2 d.\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/5?  (a) -3  (b) -63  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 10:04 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -346\/7  (b) 3\/8  (c) 0.4  (d) 0.2  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 0.1, -1\/4, -11, 0.07.\nAnswer: -11, -1\/4, 0.04, 0.07, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**3 + 3*o + 2. Let k(t) = 3*t**3 - t**2 + 3*t + 2. Let i(f) = 3*k(f) - 4*n(f). Let c be i(4). What is the units digit of c - ((-12)\/3 + -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -53816 by -961.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.6348 + -43.5502. Let x = 1.8 - 45.8. Let z = x - j. Round z to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.06  (b) -1  (c) 15\/8  (d) 4  (e) 0.014  (f) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*v = 63*v + 110*v + 1365 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 78779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21 - 1379*b + 705*b + b**2 + 687*b - 19 + 61*b**3 + 2*b**2 to p*b**3 + y*b + k*b**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8523 - -8522.6. Let d = 6 - 3. Which is the closest to -21?  (a) j  (b) -3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19416 divided by -58\nAnswer: 9708\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -2*s + 3 - 8, 3*u = 5*s + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 102 - 99. Let p = 0 + 0.2. Let d = p - 0.1. What is the nearest to -1 in 1\/3, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13057 divided by 60?\nAnswer: -13057\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 984*g**2 + 2117*g - 4634. What is the first derivative of r(c) wrt c?\nAnswer: 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1580 or -1581?\nAnswer: -1581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50.07 + 50. Let f = -2.55 - -4.62. Let l = p + f. Which is the nearest to -0.1?  (a) l  (b) 4\/7  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**2 - z + 4. Let d be o(0). Suppose 0*y = -y + d. Suppose 130 = 3*k + y. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 71\/5 of a gram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 + -26. Let g = d - -8. Let l = 0 - g. Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 7 = -0*u + 2*u, -u + 2*y = 0. Let r = -739 - -736. Let d be 17 + -12 + (-2 - (2 + r)). Calculate the highest common divisor of d and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-4)*4\/6. Suppose -4*r + 3*m = -2*m + 44, 4 = r - 5*m. Let o be (r\/64)\/(2\/(-24)). Solve -o*c = 2 + i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77605.54 rounded to the nearest 1000?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 5\/316  (b) 1\/4  (c) -0.3  (d) 0  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25 by -2690.\nAnswer: 5\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.02, -3\/122, 0.4, 17, -5?\nAnswer: -3\/122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 342*k**3 + 3*k**2 + 38*k - 41. Calculate g(1).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Convert -224 (base 5) to base 6.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*(19*-329)\/7. What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -124 + 1222143?\nAnswer: 1222016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 18*i**4 - 31917*i**3 + 542334*i**2 + 474120*i = 0.\nAnswer: -5\/6, 0, 18, 1756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -0*o + 3*j + 7, -j = -2*o + 6. Let w be (-19)\/(1 - -3 - 3). Let h = w - -24. Calculate the highest common divisor of o and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81 - (33 + -71) - -36\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/9 + 133378*x\/9 + 14820.\nAnswer: -2*(x - 66690)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + -0.4. Let c = v - -6.4. Let p = -4.00000052 + c. Round p to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/3 + (-5)\/(-15). Suppose 0 = n + h*q - 27, -q + 4*q = 15. Calculate the highest common divisor of n and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -90.16 - -85.16. Let f = -4 + 4.1. Which is the third smallest value?  (a) -1\/4  (b) f  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 36*z**2 - 20*z**2 - 22*z**2 - 5*z**2 - 11*z**2. Let c(u) be the first derivative of -u**2 + 2. What is j(c(w))?\nAnswer: -88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2097.631 grams to tonnes.\nAnswer: 0.002097631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o - 3*o + 7*o)*(-2*o + 4*o + 2*o + 4*o - 2*o + 0*o + (-4 + 1 + 1)*(-4 + 4 - 2*o) - o + 2 - 2).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1758819594.\nAnswer: 2, 3, 7, 41876657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 509850936.\nAnswer: 2, 3, 7, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1131132 (base 5) to base 2.\nAnswer: -101000100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 243 a factor of 49988834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 74*v - 2 + 33 - 13*v - 62*v. Calculate i(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 + (-5 - 9) - 12 - 2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2.11, -0.2, 18410?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b**2 - 8*b + 2. Let w be ((-3)\/(-12))\/((-3)\/(-36)). Let f be u(w). Suppose q - 4*q = -2*z + 17, 5*q = -f. Is z at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*x - 2*x. Suppose -4*k + 33 = -j, x*k = -j + 3*k - 40. Suppose u = -25 - 13. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (205 + 20*h**3 - 205)*(3 + 1 - 5)*(-5*h + 4*h + 5*h - 1).\nAnswer: -80*h**4 + 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 245889420 to the nearest 10000.\nAnswer: 245890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -5*a**2 - 27*a - 14. Let h be u(-5). Let f be (2*-1 + 1)\/1. What is the second smallest value in h, 3\/2, -1\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1132 (base 5) in base 14?\nAnswer: bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 6 = -k, 2*b - 6*b - 2 = 3*k. Let w = -16\/7 + k. Let q = 191\/12 - 63\/4. What is the third smallest value in w, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 3506.\nAnswer: -2\/1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56139110?\nAnswer: 2, 5, 19, 15551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (132\/30)\/((-1)\/(-15)). Let f = q + -45. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*a - 319263 = -318849 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -21, 1, -18, -5, 29, -3 in ascending order.\nAnswer: -21, -18, -5, -3, 0, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 7*q**2 + q + 3. Let l be 0 - ((-15)\/(-5) - 22). Suppose -l*b + 45 = -16*b. Suppose -5*r - b = 20. What is s(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1660, -86, 2574, 6326, 11176, 17130?\n\"Answer: w**3 + 537*w**2 - 44*w - 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -1493284*a**2 - 88111088*a - 1299746704 = 0. What is a?\nAnswer: -18026\/611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i**(1\/3)*i))**(-33))**(-14\/3))**(-6) assuming i is positive.\nAnswer: i**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -916483*p**2 + 521382*p wrt p.\nAnswer: -1832966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v + 1 = 10*v. Put -2, 5, v in ascending order.\nAnswer: -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*a + 134, 2*a + 48 + 86 = -p. Let i be 0 + (-1 - -54)*3. Let z = a + i. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (12 - 21 - -9)) + -14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 712 divided by 178.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 44\/20304743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**0\/u))**(-1\/56)\/(u\/(u*u**(-9)*u*u)*u\/u**5) assuming u is positive.\nAnswer: u**(-85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1648 + 1726. What is the remainder when 240 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 2*m - 3*f, 297 = 5*m + 4*f + 307 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 313124586 and 963.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -366*y + 369*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 76, 276, 716, 1474, 2628?\n\"Answer: 13*d**3 + 42*d**2 - 17*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d. Suppose -2*u - u = 12. Let y = u - -7. Let r = y - -1. Give v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (22\/6 + -2)\/(10\/(-1260)). Let u = o + 216. Let k(r) = -5*r**3 - 4*r**2 - r + 2. Calculate the remainder when k(-2) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 109200.\nAnswer: 109200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 7 + 5 = 0. Suppose -6 = -t*i + 2. Suppose 33 = 3*m + 3*s, 0 = m + 2*s + 9 - 15. What is the greatest common factor of i and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 108?  (a) -0.5  (b) -2\/13  (c) -3  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*3*2 + sqrt(209))\/(sqrt(891)*5).\nAnswer: 7*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c**3 + 1087784*c**2 + 4713996*c - 3626120 = 0 for c.\nAnswer: -5, 2\/3, 90653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (-4)\/((-20)\/(-25)). Suppose -3*y - 5*o + o = -11, 13 = 3*y + n*o. Suppose -7 = -5*v + 18. Solve y*t + v = -0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, u: 2, r: 7}. What is prob of sequence yuur?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*a**3 + 20715892*a**2 + 20715889*a + 5178972 = 0. Calculate a.\nAnswer: -5178972, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 24928553 + -113388\nAnswer: 24815165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5.26+-3858808\nAnswer: -3858813.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19 + -19.6. Let n = -0.38 - c. Let l = n + -0.244. What is l rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1121110 - 211110202212?\nAnswer: -211102011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 h, 1 x, and 1 p when four letters picked without replacement from {x: 1, h: 5, p: 2, j: 6, o: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15*1\/(-3)*-1. Solve 0 = -o + q - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -6*j**3 + j**2 + j + 1. Let f = 11 + -8. Let m be (f\/9)\/((-2)\/6). Let r be h(m). What is the greatest common divisor of 56 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 330 and 1045.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 13535 * 0.1\nAnswer: 1353.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -14003\/5 > -2802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 9 = r. Let f be ((-2)\/4)\/(r\/672). Let a = 269 - f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 3\/5, -1\/10, 142434 in increasing order.\nAnswer: -12, -1\/10, 3\/5, 142434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2968 divided by 2968?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -111*v - 148. Let l(y) = -y - 1. Let h(i) = d(i) - 148*l(i). Let m(w) = -w**2. Calculate m(h(k)).\nAnswer: -1369*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 22, 8, -6?\n\"Answer: -14*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 633559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/2 + (15 - 12). Suppose -6*f - 6*f + 60 = m. Solve 3*z + 14 + 0 = -u, -z - f*u - 14 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 4:18 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from zzeuuuuueuuieeieii?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2 = -j. Let i(w) = w**2 - 7. Let p be i(-3). Let v be (62\/39 - (-5)\/(-3))*p. What is the third smallest value in j, v, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 57502 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-15))\/((-18)\/420*42\/63)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*y - 10. Let k be 0 - 1 - (y + -6). Let g(r) = r - 6. Let h be g(k). Is 2\/3 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 488308315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 48*j + 668. Give u(-16).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1896 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - sqrt(68)*4 - sqrt(17))*-5 + 2 + sqrt(204)\/(sqrt(12) + sqrt(432)) + sqrt(153)*-3)**2*-2.\nAnswer: -1616208\/49 - 1744*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/4950 and -29\/413820.\nAnswer: 2069100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -44*v + 29*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 200 + -203. Does 9 divide ((-36)\/1)\/(a*2\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -5 + 9\/((-36)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (2*sqrt(2) - sqrt(2)) + -4)**2 - (3 + (3 + (sqrt(6)\/sqrt(3) - sqrt(2)))**2).\nAnswer: -9 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-12*125\/(-45)*(-9)\/4)\/(-3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49438013.\nAnswer: 397, 124529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2093 + 2092.8. Which is the nearest to z?  (a) -14  (b) -3  (c) 1\/3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 369, 397, 435, 477, 517?\n\"Answer: -d**3 + 11*d**2 + 2*d + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of -g**8\/560 + g**6\/180 - g**3\/2 - 3*g. Let m(d) be the second derivative of f(d). Find the third derivative of m(b) wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4084)\/(-6) - -3) + -2. Let i = -1930\/3 + k. Let r = i - 38. What is the smallest value in r, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 8:53 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from pjstjwtc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 783900 and 1620?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**21*d**(-9\/5) assuming d is positive.\nAnswer: d**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*q - 41073 = -13388. Which is bigger: 792 or q?\nAnswer: 792","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - q = -8. Solve -5*g + 7 = -2*g - 2*m, -m = q*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12000 and 307040?\nAnswer: 23028000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4e55 - -3?\nAnswer: 4e58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -49 - -7897?\nAnswer: 784e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x\/(x**(2\/5)\/x)))\/x**10)\/(x*x\/(x*x**(2\/15))*x*x**(-2\/7)))**45 assuming x is positive.\nAnswer: x**(-3837\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 57\/2 of a tonne?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 11784*p + 11. Let j(w) = -1965*w - 2. Determine 34*j(l) + 6*r(l).\nAnswer: 3894*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11\/158 or 5?\nAnswer: 11\/158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 60 - 32. Let p = 75 + -33. What is the highest common divisor of p and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 570760 by 114152.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -267030.8139 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 - 7*p**2 + 15*p + 20. What is the tens digit of t(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1025*g - 388*g + 292*g to the form m*g + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3007 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -346 (base 7) to base 6\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 5 = 4*r. What is the fourth smallest value in r, 0.02, 1, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -3, 9, -24, -76, -17 in descending order.\nAnswer: 9, 4, -1, -3, -17, -24, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1124, 1118, 1102, 1070, 1016, 934, 818, 662?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is b in b**3 + 1849*b**2 + 18379*b - 20229 = 0?\nAnswer: -1839, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/13, 1\/6, -3\/5, -74\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 403103200?\nAnswer: -403103200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) 2  (b) 50.3  (c) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 343 + 181. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of -g**4\/6 - g**3\/2 - 15*g**2 - 5*g. Let p(i) be the first derivative of -3*i**2\/2 - 2*i - 1. Determine -4*f(a) + 5*p(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63\/10 + 34\/5. Factor n*b - 1\/4 - 1\/4*b**2.\nAnswer: -(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7343.077 years to millennia.\nAnswer: 7.343077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1010681983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -215805899 + -5.\nAnswer: -215805904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*d**2 + 4*d - 4*d + (-1036 + 1036 - 2*d)*(3 - 3*d - 3).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5773 and -0.199.\nAnswer: 5772.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28088 - -84268\/3. Let g(d) be the first derivative of 16 - 40*d**2 - 400*d - k*d**3. What is c in g(c) = 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 11 + 1. Let d be b\/(-4) + 20\/8. Is d greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -13\/366402 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.01 + -4.49. Let g = 4.55 + x. Let a = g - 0.050013. Round a to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6550 = -23*w + 6665. Put w, 2\/3, 1\/2, -2\/5, 0 in decreasing order.\nAnswer: w, 2\/3, 1\/2, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 2 + (-56 + -3 - -18)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 2\/11  (c) 10.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 234*y**2 - 79*y**2 - 78*y**2 + 297*y + 356*y - 75*y**2 to a + c*y + t*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80 - 22*p - 6*p - 79 + 2*p + 159.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(2 + 1 - 2)*(l + 0*l + 0*l)*(-3*l + 0*l + 2*l)*(-5 - 52 - 149).\nAnswer: 412*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21972175 is divided by 129.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -2. Is s at most as big as -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 8*r - 16*r)*(2*r**2 - 3*r**2 + 0*r**2).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52281 is divided by 5808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 647585 is divided by 23128.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 7 = o, 2*z + 21 = 5*z - 2*o. Let v(l) = -4*l + 3. Let x(b) = -2*b + 2. What is z*x(q) - 3*v(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3528661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o**4 + 7788*o**3 + 1687380*o**2 + 3351412*o + 1671816 = 0.\nAnswer: -1699, -246, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 169380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of 1\/3*o**3 + 5\/2*o**2 + 4*o - 1. Calculate m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (696\/580)\/(22\/5)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 17890461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18040 - 18065 - (2 + -122).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 510619904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.18 - -0.01. Let j = -3.83 + k. Which is the nearest to 3?  (a) -1  (b) 1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*q - 4*q + 2*q)*(2 - 115*q**2 + 1 + 181*q**2) to the form p*q**2 + y + o*q + d*q**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**6\/120 + j**3\/6 - 23*j**2. Suppose 8*p - 193 = -209. Calculate w(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -318, -7, 0 in increasing order.\nAnswer: -318, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*f + 607 + 990 = -1679 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 689550?\nAnswer: 2, 3, 5, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -11*c**2 + 7*c + 35. Give u(5).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*g**4*o**2 + 1682*g**4*o - 20*g**2*o**2 - 19*g**2*o + 3*g*o wrt g.\nAnswer: -96*g*o**2 + 40368*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 3 = -2*l, -211*z + 214*z = 2*l - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*d + 5*z - 66 = 52*d, z - 138 = -5*d. What is the second smallest value in 11, 2, -3, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1917 bigger than 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of a**3\/3 - 2*a**2 - 3*a. Let m be r(7). What is the units digit of (-35)\/(-7)*8\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 924 divided by -28\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*j + 3 = 117*j. Solve 8*t - 7*t = j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 - 33?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-1\/7)*y*y)\/y)**(-1\/3))**(2\/5) assuming y is positive.\nAnswer: y**(-26\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 + 1 + (4 + 39\/(-6))\/(-1). Which is the biggest value?  (a) 5  (b) 1.4  (c) v  (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28385 - (-15)\/((-405)\/18)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3  (b) -2\/5  (c) 15  (d) -161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 7:53 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 9, -16716407 in increasing order.\nAnswer: -16716407, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2450 and -28?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (18\/(-12))\/(6\/(-8)). Let n(b) = 10*b + 2. Let q(z) = 6*z. Let a(c) = -5*c. Let r(o) = 5*a(o) + 4*q(o). Give x*n(d) + 22*r(d).\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7.4898 or 1\/3?\nAnswer: 7.4898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5773181 is divided by 524832?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -86 divided by -128\nAnswer: 43\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (50\/(-75))\/(1\/(15\/(-10))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8991.049 microseconds to seconds.\nAnswer: 0.008991049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(200)*-1*-2 + (-1 + sqrt(200) + 2 - sqrt(200)) + sqrt(200) + 1.\nAnswer: -2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*l - 60 = l - 7*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(30\/4))\/(31\/((-837)\/(-252))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h - 11. Suppose -2*f - 32 = -5*k - 3, 0 = -k + 3. Let p(w) = w - 6. Give f*p(n) + 4*r(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2407510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 440*b**2*l**2 - 2*b**2*l - 25*b**2 + b*l**2 + 964*l**2 - 18*l + 35 wrt l?\nAnswer: 880*b**2 + 2*b + 1928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 47*c**3 + 20*c - 17. Let j(n) = 110897*n - 6 - 110890*n - n**3 + 17*n**3. What is 17*j(s) - 6*x(s)?\nAnswer: -10*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.6  (b) -3\/8  (c) -6  (d) 0.9  (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 20000, 20010, 20022, 20036, 20052, 20070?\n\"Answer: w**2 + 7*w + 19992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 131198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -614 or -1846\/3?\nAnswer: -1846\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23461, -23462, -23463, -23464, -23465, -23466?\nAnswer: -23467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j**2 - j**2 - 2*j**2)*(j + j - j) + 8*j**3 - 23*j**3 + 6*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 9\/38785 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4096102278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oikk when four letters picked without replacement from nookioyinnooninonk?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3870 divided by -258?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -6 - 0. Suppose 5*x = 3*z + 3, t*z - z - x = 5. What is the second derivative of -5*b**5 - 5*b + 3*b**5 + z*b wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*k - 795 = 27*k + 381 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 8:34 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3927 and 24?\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 27\/6*((-10)\/3 + 4). Let v = -13 - -47. Suppose 8 = -l - 4*q, 0 = 2*l - q - q - v. Solve c*m + m = -l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 852.5562 decades in years?\nAnswer: 8525.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 6*c = 4*a - 24, -4*a = -20. Suppose -5*s + 15 = -c*s. Suppose 2*w + 108 = -2*y + 4*y, 36 = y + s*w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 15*k**2 + 32*k - 6. Let i(r) = -16*r**2 - 38*r + 7. Let v(p) = -5*i(p) - 6*n(p). Determine v(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9234841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/5 + 1542741*p**2\/5 + 3085486*p\/5.\nAnswer: -p*(p - 1542743)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m + m + 2816 = 0. Let x = m + 535. What are the prime factors of x?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 307 is divided by 92?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 460, -1\/10, -3\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1980\/(-77))\/15)\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, h: 4, p: 2}. Give prob of sequence pdh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -472415 or -472414?\nAnswer: -472415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 3*w**3 - 459*w**2 - 7014*w = 0.\nAnswer: -14, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and 31.202?\nAnswer: 35.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 69, 91, -1, -4 in descending order.\nAnswer: 91, 69, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6528\/18)\/(1\/3). Suppose -w + k = 303. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**3 + r + 2. Let v(o) = 4*o**3 + 12*o**2 + 2*o + 9. Let b be v(-3). Let g(h) = -2*h**3 + 2*h + 2. Calculate b*g(u) - 4*a(u).\nAnswer: 2*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 526, 1088, 1650, 2212, 2774?\nAnswer: 3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 10101010000111 (base 2) to base 16\nAnswer: 2a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 146*p - 140*p + 42 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -40.1 * 53\nAnswer: -2125.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 32379782587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -9 + 4*y**3 + 2 + y**2 - 3*y**2 + 5*y. Let c(r) = -3*r**3 + r**2 - 5*r + 6. Let d(g) = 4*a(g) + 5*c(g). Let k be d(4). Is -2 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -1913752\nAnswer: -5741256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14.6 - 0.6. Let q = m + -13.9. Let d = -0.1 - -1.1. What is the nearest to 1\/3 in 3, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5368 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2393.0759 less than -8?\nAnswer: 2385.0759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-7)*j*j**(12\/11)*j)\/(j**(-8\/7)*j\/(j*j**(14\/9)*j)) assuming j is positive.\nAnswer: j**(547\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/(-264) + 87\/(-252)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, -42, -107, -188, -279, -374, -467?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*u**2 - 4*u - 20*u**2 - 2*u**3 + 5*u - 25 + 21 in the form h + p*u**3 + m*u**2 + w*u and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(396) + 1)**2*-6 + sqrt(396)).\nAnswer: -14292 - 396*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72 and 4572.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 119738807*d*v**3 + 3*d*v**2 - 5*d*v - 16288*d - v**3 - 4*v**2 + 2*v wrt v.\nAnswer: 718432842*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99650053 is divided by 164439.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 18793115.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*u**4 + 2*u**3 - 6840*u**2 + 1148932 with respect to u.\nAnswer: 64*u**3 + 6*u**2 - 13680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**4\/12 + 7*o**3\/6 + 24*o**2. Give d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.99 + -0.01. Let g be (8\/70)\/((-4)\/(-10)). Let n = 0.61 - -0.39. What is the second smallest value in n, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6330, 12645, 18960, 25275, 31590, 37905?\nAnswer: 44220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -4*n + 101 + 20, -l = 3*n + 9. Let h = l + 29. Suppose -2 - 10 = -2*t + r, 3*r - h = -5*t. Solve -t + 0 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -122*(582\/(-252) - 48\/(-18)). Which is greater: -45 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -m**4\/12 + 11*m**3\/2 - 25*m**2 + 3*m - 14. What is the derivative of n(o) wrt o?\nAnswer: -2*o + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25452698 is divided by 3636098.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -43, -225\/19, 1, 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6 - 130\/(-15) - 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/6 + (-256)\/(-3). Let n = j + -60. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 5*z + 750 = -2*a, 0 = -3*z + 5*a + 580. What are the prime factors of z?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10 + -8)\/(2\/22). What is the smallest common multiple of 9 and (-4)\/(-22) + 106\/h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -88 + 88.5. Let i(l) = -l**3 + 3*l**2 + 3*l + 4. Let o be i(4). Let j be 2 + (-13)\/7 - o. What is the biggest value in s, j, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k + 3*r, 0 = 3*k - 3*r - 334 + 328 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-16)\/b*(b*((b\/b**(-8))\/b)\/b)\/b assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8869512 and 612.\nAnswer: 26608536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of 10*p**7\/21 - 8*p**6\/5 + 9*p**5\/5 - 2*p**4\/3 - 12*p. What is y in s(y) = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*i - 25*i - 8*i**3 + 2*i**2 + 2*i**3 - 2*i**2 - i**3 + i - i + (-3*i**3 + 6*i**3 - i**3)*(-1 - 2 + 2) - 2*i**3 - i + i + 2*i**3 - 4*i**3 + 3*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -411, -1547, -3425, -6045, -9407?\n\"Answer: -371*o**2 - 23*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -46 + 50. Suppose f = 7 - 8. Let u be (80\/(-24))\/(f\/12). Calculate the greatest common divisor of u and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/3 - (50\/15 - 0). Let h be 1 - (-158)\/(-22) - i\/11. Let j(m) = m**3 - m**2 + m - 1. Let y(t) = 2*t**3 - 6*t**2 + 6*t - 6. Calculate h*j(q) + y(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*o = 9*o + 1440. Calculate the highest common divisor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4*s. Let b(d) = -165227895*d. Calculate r(b(u)).\nAnswer: -660911580*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 431 - 289. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1978, 2\/3, 98.\nAnswer: 2\/3, 98, 1978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**3*h + g**3*i**3 - 14*g**3*w - 5*g**2*i**3 + 2*g**2*i*w - g*h*i + h*i*w wrt g.\nAnswer: 12*h + 6*i**3 - 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -13*z - 683. Let u(r) = 3*r + 163. Let x(a) = -6*m(a) - 25*u(a). Give x(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -293*h + 7*d + 1307, 15*d - 20*d + 85 - 111 = 109 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 421260.1g in milligrams?\nAnswer: 421260100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 + 81. Suppose 4*t = 2*a + 34, -2*a - i = a - 3*t. Let y = a + 80. List the prime factors of y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21024978 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/6)\/(2\/6). Let z = -1813 + 1816. Suppose 3*g + 2*f - 52 = 0, 22 = 4*g + 5*f - 45. Solve -g + 4 = z*r + k, 0 = -k - b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 135\/162*(-9)\/(-3)*2. Suppose 3*j - o = 2*v, -17*v + 12*v = -3*j - 1. Solve 5*g - g = -3*i - 10, 2*g = v*i + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c, 19 = -0*r + r + 4*c. Let w(b) = 21 + 44*b**2 - b + 3*b - r. What is the tens digit of w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 691397 is divided by 230456?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-36)\/(-264) - (-6948)\/(-396).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of -j**7\/105 + j**5\/30 - j**2. Determine r, given that o(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(-5*j + j - 2*j)*(2 - 2*j**2 - 3 - 2).\nAnswer: 24*j**3 + 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*k - 229 + 89 = 0. Solve 0 = -4*u - k*j - 18, 3 + 7 = -3*u - 2*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14218091 + -3.54\nAnswer: -14218094.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 1\/2  (c) -3  (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 13*v + 94. Calculate g(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20900 and 406450?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 + 11*g - 3. Let n = 17 + -14. Let m(d) = -42 + n*d + 41 + 0*d**2 - d**2 + d. Determine 8*m(f) - 3*t(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11065 + 16571. Suppose 18*q - 794 - f = 0. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*u + 455 = 6791. Solve 16*i + 0 - u = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 591435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 28*w**2 - 1152*w + 1028. Let y be k(41). Factor -3\/2*f**2 + 72*f - y.\nAnswer: -3*(f - 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*((-6)\/4)\/3. Solve 2*c = -y - c, t = 2*y - 4*c + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124938278 is divided by 1296.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 4  (b) 1\/27  (c) 1\/6  (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - u + 56579 = 0, -2*u = -50*t + 48*t + 56600. What are the prime factors of t?\nAnswer: 3, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 4*a - f, 4*a = -f - 7 - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.725566ml to litres.\nAnswer: 0.003725566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 4549*w + 77. Let g be x(22). Suppose 4*a + 2*p - 80100 = 0, 5*a - 3*p = 2*p + g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 9 = -4*l - 5*j, -3*j = 4*l - 104. Calculate the remainder when 115 is divided by (l + 0)*(-6 + 7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10011011001100011101 - -10?\nAnswer: 10011011001100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4864783 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/(-24) - 1037\/(-4). Is 10 a factor of t\/6 - 7\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 27 = 1. Suppose -2*u - 3*l + 15 = 0, -57 = -3*u + g*l - 9. Suppose 5*y + 0 = 20. Calculate the highest common factor of u and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.2 or 14653.8?\nAnswer: 14653.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 45.9, 0.1, 312, -0.09, 5?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of h**6\/6 - 3*h**2\/2 + 7. What is the second derivative of p(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2581866 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -58386220 to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 266 - 272. Let h be ((-32)\/(-20))\/((-4)\/10). Sort a, -8, h.\nAnswer: -8, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -68 in -2\/857, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -103.\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, b: 2}. What is prob of sequence bib?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -q - 24, -5*q - 16 = -i - 2*q. Sort 1\/2, -4\/5, 5, i.\nAnswer: -4\/5, 1\/2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 2*j + 1554, 0 = 3*h + 3*j + 3289 + 1361. Let t = 170059\/110 + h. Let a = 9\/22 + t. Which is bigger: a or 1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.76 or 135.7?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - 5. Let l = 24 + k. Let v = l + -18.2. What is the biggest value in -1, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**2 - 1393*m - 2785. Calculate q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**5 - 27606*a**4 + 551864*a**3 - 3972832*a**2 + 12359040*a - 14124032.\nAnswer: (a - 27586)*(a - 8)*(a - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-882)\/(-1))\/3*((-24)\/162)\/((-488)\/1098)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of -11*y**4\/24 - 8*y**3 - 23*y**2. Let a be x(-6). Calculate the highest common factor of a and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11*(-318)\/(-212)*2\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 934753.5nm to meters.\nAnswer: 0.0009347535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**5 - 33*m**4 + 30*m**3.\nAnswer: 3*m**3*(m - 10)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -135486, -270976, -406472, -541974, -677482, -812996, -948516?\nAnswer: -1084042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 222247947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -64682 (base 10) in base 14?\nAnswer: -19802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 109, 470, 1101, 2002, 3173, 4614?\n\"Answer: 135*s**2 - 44*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 20*z**2 - 1240*z + 8627. Give o(54).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3923, -23, -3, 9 in descending order.\nAnswer: 3923, 9, 5, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 112 (base 8) to base 14\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 - 5*v**2 - 6*v + 3. Let t be m(6). Suppose -t*i + 0 = -6. What is the tens digit of 3*(i - 7)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11927596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 8 = 2*b + 5*g, 0 = -4*b + 5*g + 36. Calculate the least common multiple of 7 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -21, -59, -117, -201, -317, -471?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 78 in 0.3, 0.02, 3475?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -27*c**3 + c**2 + 10 + 47*c**3 + 6. Let a be g(8). What is a rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51 - 61) + 2 + 0 - -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 12*y + 1. Let k be z(-1). Let l = k + 16. Solve -i = -l*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110 + -3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (25\/15 - 2)*(-2 + 2). Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 638147*h**4 - 65691*h**2 - 3*h wrt h.\nAnswer: 15315528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t + 3*t + 3*t. Let m be (-20)\/(-30)*3\/(-2). Let j(y) = y. Let p(f) = -6*f. Let a(o) = m*p(o) - 5*j(o). Give a(b(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-20)\/(-130) - 17052\/(-26). Suppose 1122 = -0*b + 6*b. Let c = z - b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2999*a - 76650 = 2969*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214 = -439*t + 441*t. Let y = 111 - t. Solve -5*k = -y*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35165890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 13*p + 15. Let n be h(12). Suppose 3*y = 2*y + 3*f + 18, n*f = 3*y - 24. What is the derivative of 81 + 24*s**3 + 5*s**y - 64 wrt s?\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 34080 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2821907252 to the power of 1\/3, to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 47098*w**6 - 17*w**5 - 24*w**3 - 6*w**2 - 13367751*w - 1.\nAnswer: 5651760*w**3 - 1020*w**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbuuuvuvuuu. What is prob of sequence vbbv?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**3 + 21*t**2 + 17*t + 5. What is the remainder when s(-9) is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 966389\/807 at most 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 3 + -4 - -3) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 1 - 6 + 3)*(-1 + 2 - 2)*(3 - g - 3 + 3 + 2*g - 3 - 5*g + 5*g - 2*g + (-2 - 1 + 1)*(g - g + 2*g) - g - 3 + 3 + g - 4*g + 2*g).\nAnswer: 7*g**2 - 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 24. Suppose 0 = 3*t - c - 88 + 4, t - 3*c = 28. Let q = t + p. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = c + 4*f - 32, -18 = -3*c - 2*f. Suppose 0*a - c*d + 38497 = 3*a, -5*a - 5*d + 64170 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) -0.1  (b) -1.46  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 106 - 105.9999567. What is i rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/4)\/(4\/100). Solve 4*c - o = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((1 - -1) + 4)*60\/18 and (1 + -2)*1*-8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 2, -2803, 7, 4, 3, -10 in descending order.\nAnswer: 7, 4, 3, 2, -10, -24, -2803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in seventeen quarters of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/4*(-6)\/9\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1196*k - 1197*k = -7119. What is the thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)\/(sqrt(9)*2))\/(sqrt(144)\/sqrt(4)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.12677 - 5.02677. Let y(o) = -o**2 - o + 1. Let g be y(1). What is the second biggest value in g, u, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of g**4\/8 - 3*g**3\/2 - 47*g**2. Calculate n(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -42*h**4 + 32*h**4 - 53*h**4 + 3*h**4 + 0*h**4 - 4*h**4 + (3*h**3 - 4*h**3 - h**3)*(-5*h + 4*h + 4*h).\nAnswer: -70*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 487*m**2 + 2*m + 1. Let d(r) = -3*r**2 + 2. Let c be d(-1). List the prime factors of z(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6831581131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -1 - 0) + -83. Let m = 79 - a. Let d be m\/39 - (-2)\/(-13). Solve -20 = g + d*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3639?\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 16*g**3 - 2*g**2 - 7*g - 5. Is k(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/(-30) + 34\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j. Let r(g) = -35*g - 17*g + 126*g - 39*g. Determine r(l(w)).\nAnswer: -70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 10:39 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1.9*-0.03\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g - 4. Let b be u(-7). Suppose -b*k + 5*k = -35. Suppose 0 = 4*h - y - 22, k + 1 = 2*h + y. Solve -h*v - z - 31 = 2*z, 4*z = -8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -28*g**5\/3 - 134*g**4\/3 + 254*g**3\/3 + 96*g**2 - 24*g = 0. What is g?\nAnswer: -6, -1, 0, 3\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2076238\/8890067 + 2\/64891. Calculate the common denominator of 572\/156*(2\/10 + 28\/40) and s.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 82 = m, 5*m + h + 3*h - 407 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -118, -917, -3092, -7333, -14330, -24773, -39352, -58757?\nAnswer: -83678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*f + 180*f + 462 = -663 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6251099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, -18 in descending order.\nAnswer: 5, 4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lbxfc. What is prob of sequence xf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46 (base 11) to base 3.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*l + 57*l = -1780 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, g: 3, j: 3}. Give prob of picking 1 w and 2 j.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*q**2 + 3*q**2 - 6*q**2)*((-2 + 5 - 4)*(0 + 1 + 0) - 1 + 1 + 2 - 2 + 5 - 1) to the form x + t*q**2 + k*q and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 98 = -2*t, 7*t - 2*t = 3*y + 243. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m + 21. Give l(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u**4 - 4*u**3 + 3*u**2 - u**2 - 34*u + 20*u + 16*u to p + g*u + h*u**4 + q*u**3 + w*u**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 3*w + 528 - 524, -2*v = -w - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 17 = -2. Let b(a) = -3*a - 6. Let p = 7 + -10. Let r be b(p). Solve 0*g = r*g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*w + u - 7, 4*u = 4*w - 24. Let r(b) be the first derivative of b**4\/2 + b**3\/3 + b**2\/2 - b + 1. Let v be r(1). Is w greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 t, and 1 x when four letters picked without replacement from {t: 4, x: 2, r: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000176 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 2*p - 4*f = 300, -3*p + 900 = 5*f. Let t be 117\/p - (-2)\/8. Let l = 6\/25 - t. Which is the nearest to l?  (a) 0.2  (b) 4  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(1\/5)*h)\/h)**(-4\/7))**48 assuming h is positive.\nAnswer: h**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186*a - 246 = -184*a. Let v = a - -170. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -369*n = -366*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -323213113022 + -2?\nAnswer: -323213113030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-232)\/28 - (-10)\/35. Let d be ((-2)\/3)\/(2270\/285 + w). Solve -u = -15 + d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -4*n, -v - n + 4 = 1. Suppose -4*f + v*o + 753 = -179, 0 = 5*f - 4*o - 1166. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4*(2 + sqrt(1573) - sqrt(1573)))**2 + sqrt(1573) + (1 + sqrt(1573))**2 + 0.\nAnswer: 33*sqrt(13) + 1642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6357252 is divided by 31628.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3751 is divided by 379.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 12252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 130*t**4 + 540*t - 692. What is the derivative of k(n) wrt n?\nAnswer: 1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (5*2)\/(42 + (-17709240)\/421650)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5652 + -337. Let g = w + 3949. What is g rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 328201896 and 1416?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 50\/475 + (-112)\/(-19). Let x be (v\/9)\/(5\/1080). What is the greatest common divisor of 360 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6952.21 and -559222060.\nAnswer: -559215107.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(76) - (sqrt(76) - 1*sqrt(76)) - sqrt(76) - sqrt(76)) - -3*sqrt(76)*1)*-6)\/(sqrt(196)*4 + (sqrt(144) - (sqrt(144) + sqrt(144)*-3))).\nAnswer: -27*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -3*n + 31. Let g be h(9). Suppose 0 = 4*s + 3*u - 177, -2*u - g + 2 = 0. Calculate the remainder when s is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (-16 - (27 + -15))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 377795563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1092, -718, -104, 744, 1820, 3118, 4632, 6356?\nAnswer: 8284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from lbbabkbbbpka.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - 233?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53.06 - 54. Let x = z - 0.06. Let f = 4 - 3.9. What is the nearest to x in -4, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -1, 1\/6, -1\/7, -15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 168\/(-280)*15\/(-24)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 329480 and 370665.\nAnswer: 2965320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 28245087 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x. Let k(i) = 259 + 269 - 528 - 171*i. Give c(k(v)).\nAnswer: -342*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -106 + 88.6. Let p = 24 + u. Round p to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a852 (base 15) in base 4?\nAnswer: 20230223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of i**4\/12 - i**3\/3 + i**2. Let w be s(2). Suppose 4*r + w*g - 73 = 49, -90 = -3*r - g. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -107*i**3 + 11180*i**2 + 119*i**3 - 1024935 + 21415 - 1316034*i + 70594*i - 37*i**3 = 0?\nAnswer: -4\/5, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a**2 - 12*a*q**2*w**2 - 34*a*w**3 - 91*q**2*w**2 - 3*q*w**3 wrt a?\nAnswer: -2*a - 12*q**2*w**2 - 34*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.30746 millennia in centuries?\nAnswer: 503.0746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 82, -3\/4, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - -18 - (-2 - -4). Let f be (2 + -1)\/(d\/(-34)). Let u be -3 + 2\/2 + -1. Sort 2, u, f.\nAnswer: u, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2  (b) 15  (c) -548\/391  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30*l + 84*l - 40*l**2 - 9*l wrt l.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 11*x + 21. Give l(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -387670.195 rounded to the nearest one hundred?\nAnswer: -387700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -12\/9224057 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -1\/20*l**5 + 1\/2*l**3 + 3*l + 0 - 7\/2*l**2 - 1\/3*l**4. What are the prime factors of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-114733)\/(-40494)*8\/(-510).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1944991354?\nAnswer: 2, 19, 51183983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 3*o + 270. Suppose -4*w = -2*w - o. Suppose -2*g + g = -18. What is the highest common factor of w and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/(-5) + 1512\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -214.9 - -8. Let b = n - -207. Put 0.5, b, 17 in descending order.\nAnswer: 17, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -53523 + 53524.999936. Let w = -2 + p. What is w rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/35 - (-4)\/(-10). What is the nearest to 2\/7 in g, -4, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/42 and -55\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 881, 3155, 6943, 12245, 19061, 27391, 37235?\nAnswer: 48593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -68, -89, -106, -119, -128?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -40 - -35.6. Let y = t - -4.1. Which is the nearest to -2\/13?  (a) y  (b) 4  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of 3*v**7\/7 - 35*v**4\/6 + 5*v**2. What is the second derivative of y(k) wrt k?\nAnswer: 1080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -977 + 978. Let h = -26 + 6. Sort h, 5, j in increasing order.\nAnswer: h, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/41  (b) -316  (c) -158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 542 is divided by 94?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -522\/11 + 968865\/20416. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 115293664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 - 3*s + 7 - 6*s**3 - s - 4. Suppose c = -3*n + 29, -176*n = 4*c - 180*n - 4. Let m(h) = -17*h**3 + 3*h**2 - 11*h + 8. Calculate c*q(a) - 3*m(a).\nAnswer: 3*a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 9*c**2 - 2240*c + 9026. Determine k(4).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**3 - 5*g**2 - 3*g. Let s(z) = z**2 - 3*z - 4. Suppose -o = 3*c - c - 9, 0 = -2*o + 3*c - 3. Let i be s(o). What is the tens digit of u(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12541562195+47\nAnswer: 12541562242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/(-4))\/(((-1776)\/160)\/37). Let l(q) = q**2 + q + 2. Let t(n) = -n**2 - n - 2. Determine h*t(r) + 6*l(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 11:34 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1873494 millilitres to litres.\nAnswer: 0.0001873494","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1942 and -1270941.8?\nAnswer: 1268999.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 + 3984\/(-110) + (-4)\/2. Let k = i - -207\/5. Which is the second smallest value?  (a) k  (b) -2\/23  (c) -4  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1285\/1028*(-8)\/(-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2840 divided by 18\nAnswer: -1420\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3956566?\nAnswer: 2, 947, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {a: 2, f: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z + 2*z**3 + 10*z**2 + 3*z + 1 + 26*z**2 - 33*z**2 to f*z**3 + h*z + g + d*z**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4443 (base 10) to base 16\nAnswer: 115b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 57*h. Let w(d) = -6*d**2. Determine p(w(r)).\nAnswer: -342*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3*p**2 - 2*p - 2. Let s be o(-5). Suppose 0 = 633*r - 639*r + 1254. Let c = r - s. Is c a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 46 - 6. Let a be ((-27)\/6)\/(6\/m). Let t = 14 - a. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m + 3. Let u(f) = -f**3 + 2*f - 3. Let z be u(2). Calculate the remainder when p(z) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 17*n**3 + 2*n**2 - 7*n. Calculate the remainder when f(2) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**4)\/m**9)**41 assuming m is positive.\nAnswer: m**(-492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -0.069  (c) -4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r**3 - 28*r + 28*r)*(-4*r - r + 3*r)*(-180 - 62 - 139 - 55) to x*r**3 + j*r + l*r**4 + z + b*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/4 - 1\/(-2). Suppose -c*s = s - 6. Solve -s*b - 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.4888 and 406.7.\nAnswer: -605.49496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2954*i - 8727. Let y = -3 - -15. Calculate the smallest common multiple of r(3) and y.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -d + 3*j, -4*j = d + 1 - 8. Let u(y) = 7*y**2 - 11*y + 16. Let g(x) = -3*x**2 + 6*x - 8. Let m(h) = 5*g(h) + 2*u(h). Calculate m(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17944, 17996, 18046, 18094?\nAnswer: 18140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -129 - 255. Let i = k + 384.01. Let u be 1 + (-1)\/1 + 2. Which is the closest to u?  (a) -2\/21  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29207960 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-2) + 201\/2. Suppose -5*f = 2*u - 10 - y, 0 = 2*f + 2*u - 38. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 2*c**2 + 0*c + 0 + 1\/8*c**4 - 5\/6*c**3. Let v(r) = 8*r - 14. Let z be 2\/6*3*14. Give z*l(a) - 5*v(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 11. Suppose -5*i - f*u = -16, 5*i - 6 - 11 = -3*u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45039015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-945)\/(-60))\/7*968\/(-33).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/9 - 92*u\/9 + 6142\/9.\nAnswer: -2*(u - 37)*(u + 83)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 AM and 9:00 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -8*i + 1. Let h be (-5 - 3)\/(-2 - 0). Let m be r(h). Let x = -31 - m. Solve x = 5*d + 1 + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 8*m + 13. Let x be g(9). Let u = 2\/109 - -101\/436. What is the closest to 0.1 in -3, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 182463.5 decades to years.\nAnswer: 1824635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85 (base 11) to base 6.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4 + 452*h**3 - 27079*h**2 + 123970*h.\nAnswer: h*(h - 49)*(h - 5)*(h + 506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 3 - (-9 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -1537893.6.\nAnswer: -10765255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/10, 4, 19431, 5, -3\/4, -5, -2.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 38803 - -35?\nAnswer: 38838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 47, 94, 157, 236, 331?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, v: 2, z: 1}. What is prob of picking 2 v and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 10*p - 66. Let r(c) = 51*c - 330. Let j(n) = 2*r(n) - 11*u(n). What is the tens digit of j(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1245653ug in milligrams?\nAnswer: 0.0001245653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 21. Suppose -5*h = 4*o - 38, -o + 3*h = -p + 1. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 65 - 195 = 0. Is c not equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -646\/15 - -1367\/30. Which is the fourth biggest value?  (a) -1  (b) 0.5  (c) -9  (d) -1\/2  (e) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/3)\/(((-4)\/1)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f - 2. Let b be m(7). Let g(i) be the second derivative of -33*i**5\/20 - i**4\/2 - i**3 + 5*i**2\/2 - i. Let l be g(b). Round l to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -3*r**2\/2 - 7*r - 101. Let m = -5 + 2. List the prime factors of h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2306*z**2 - 2*z + 371. Let t(u) = -3*u. What is t(c(b))?\nAnswer: -6918*b**2 + 6*b - 1113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 2 - (-1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2656, -2658, -2662, -2668, -2676, -2686, -2698?\n\"Answer: -r**2 + r - 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jhhmh. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y = 3 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 119535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -87763*w**2. Let b(x) = -10*x**2. Give b(i(r)).\nAnswer: -77023441690*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 5*s**3 + 11*s**2 - 15. Let p(g) = -2*g**3 - 4*g**2 + 5. Calculate 11*p(a) + 4*q(a).\nAnswer: -2*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 y when three letters picked without replacement from iykyyyikiyikyy?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/sqrt(81) + 3)**2 - ((0 + sqrt(147))**2 + -3) - (sqrt(75)*-1 + -2 + sqrt(75) + (-1 + sqrt(75))*6 + sqrt(75))**2.\nAnswer: -11621\/3 + 562*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 1 = -5*d. Let l(g) = -g - 7. Let c be l(d). Suppose -4*r - r - 4*q + 78 = c, -2*q + 12 = r. Calculate the remainder when 68 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 - -0.14867.\nAnswer: 3.14867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -45\/8  (b) -13  (c) -4  (d) 0.26  (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2207928 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 22 = -2*h. Suppose -m + 4 = -0. Suppose 45 = h*p - m*p. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/27)\/q)\/((q*q*q**(-11\/6))\/q)*(q**(-12)*q)**24 assuming q is positive.\nAnswer: q**(-14261\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1840652 divided by -7606.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j - 2*j + 0*j + (1 + 0 + 1)*(0*j - 3*j + 5*j) + j + j + 8*j + (-11 - 2*j + 11 + 17)*(5 - 6 + 0) in the form a*j + k and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/9 and 51\/53981.\nAnswer: 485829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 4 + (-31 - -53).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 4*u**2 + u - 2. Let z be q(5). Let a be (-48)\/99 - (-4)\/z. Let o be 2\/(-8) + 6\/88. What is the nearest to a in 0.4, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2c94e01 + 2?\nAnswer: 2c94e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of 17*u**4\/24 - 13*u**3\/6 - 9*u**2. What are the prime factors of t(4)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -347, -0.01, -2, 0.3, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -927 - -832. What is the hundreds digit of (-38)\/r - 1278\/15*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4*n - 4698 = 0. Let s = 2231 + n. Suppose -509 = m - 5*m - 3*r, -5*m + 2*r = -s. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -116378028 divided by -117?\nAnswer: 994684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 10:55 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 8, v: 2, s: 1, o: 4}. Give prob of sequence oso.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 3*x + 1. Let u(m) = -177*m**2 - 1062*m + 354. Calculate 354*l(p) - u(p).\nAnswer: -177*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/3))**(-9)*n**(-1\/2)\/n**(-1)*(n**(-3\/7)\/n*n*n**(1\/5)*n)\/((n*n*(n*n**5)\/n)\/((n*(n*n\/n**(1\/3))\/n)\/n)) assuming n is positive.\nAnswer: n**(-433\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 202616, 202601, 202586, 202571, 202556?\n\"Answer: -15*d + 202631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z. Let s(v) = 94*v + 2 - 1 - 1 + 647*v. Calculate t(s(j)).\nAnswer: 2223*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2*-1)\/(13 - (-335)\/(-25)). Let a(r) = -r**2 + 4*r - 3. Give a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11 - 124 - 57 + 212*n wrt n?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 12:23 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - b - 2. Let s be t(2). Let r(w) = w**3 - 5*w**2 + 10*w - 3. Let h be r(2). Let m be (-28)\/(-35)*h\/2. Put s, -4, m in increasing order.\nAnswer: -4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m - 64. Let q(g) be the second derivative of -g**6\/360 + g**4\/2 + g**3\/6 + 82*g. Let t(l) be the third derivative of q(l). Calculate i(t(y)).\nAnswer: -2*y - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 5) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 23703 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 41?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -1.65\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 298 + -796. Let a = -498 - t. Solve a*q - 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -17*c - 169. Let h be r(-10). Which is smaller: -7\/135 or h?\nAnswer: -7\/135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -3.5. Let g = -0.3 - i. Let x = -68 + 70. Which is the nearest to -0.1?  (a) x  (b) g  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 34\/60 + 4\/(-10). Let p = 293 - 298. Sort p, x, -1 in decreasing order.\nAnswer: x, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - (31545\/(-75) + (-4)\/10). Suppose -z + 3 = 2*h - 4, -5*z = 3*h - 21. Suppose -6*j = -h*j - i. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f + 2*f + f**2 + 6 - 4*f**2 + 4*f**2 - f**2 - f + f - 3*f**2 + (-1 + 1 + 2*f)*(-2*f + 0 + 0) - f**2 + f**2 - f**2 to d*f**2 + i + z*f and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 4*g = 20, -2*x + g = -5*x + 12. Suppose 0*m - m + x = 0. Which is the smallest value?  (a) m  (b) 0.3  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 11493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 229 + -154. Calculate the remainder when t is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 125*q - 117*q - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -4*l - 603. Let p(i) = 9*i + 1209. Calculate 13*j(v) + 6*p(v).\nAnswer: 2*v - 585","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -495 - 815. Let s = u + 1908. Suppose -p = 3*b + b - s, -4*b + 586 = -5*p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/((-12)\/18*3))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 128621971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(1440) + (sqrt(1440)*-1 - sqrt(1440)) + 5*(sqrt(40) - sqrt(360))))\/(sqrt(20)*-6*4*-4).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189438915.\nAnswer: 3, 5, 127, 277, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -8979 plus 1?\nAnswer: -8978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48 + -46. Let s = -3.98 + -0.02. Is a at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2 + f. Let c be y(1). Suppose 5*r + 2*b = -c*r + 43, 0 = 4*r + 4*b - 44. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(9)*-3)\/((sqrt(432)*1 - sqrt(432)) + sqrt(432) + sqrt(432) + sqrt(432)) - ((sqrt(3)*5)**2*1 + sqrt(3) + sqrt(3) + -1 + 2).\nAnswer: -76 - 25*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**4*s**3 + 5747*h**4 - h**2*s**3 + 46*h**2*s**2 + h**2 + 37*h*s**2 wrt h?\nAnswer: 24*h*s**3 + 137928*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -12*p**5 + 4227*p**4 - 120000*p**3 + 1008168*p**2 - 1759296*p + 378672 = 0.\nAnswer: 1\/4, 2, 14, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 - -16. Suppose -2*f + 4*f + 8 = m, -4*f - 26 = -3*m. Let k(y) = 1 - y**2 - y + 21*y**3 + m*y**3 - 30*y**3. Calculate k(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6496713?\nAnswer: 3, 71, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, -7\/13, 0.1 in ascending order.\nAnswer: -6, -7\/13, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50 - 71. Let x = -6 - i. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 188\/(-60) + 14*(-72)\/(-756).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -77 - -92. Let h = 71 - 40. Let p = -29 + h. Put p, -3, u, -2 in descending order.\nAnswer: u, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42131452 is divided by 8426288.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/7  (b) 3785  (c) -1.1  (d) 0.4  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10900, 10859, 10804, 10729, 10628?\nAnswer: 10495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1002297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5179806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 127*y - 1229. Let g be n(10). Solve 22*a = g*a - 38 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*l + 12*l + 1431 = 0. List the prime factors of l.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**5 - 3*s**4 + 20*s**3 + 48*s**2 - 64*s.\nAnswer: -s*(s - 4)*(s - 1)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -4. Suppose -25 = 5*f, 3*f = m - n*f - 15. Solve -r + 0 + 5 = m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1065503000 to the nearest one million.\nAnswer: -1066000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 57782233007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -879 + 907. What is the remainder when 416 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000149051872 rounded to six dps?\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + -1. Let a(b) = b**2 + b. Let z(u) = 10*u**2 + 4*u - 4. Let m(s) = -3*a(s) + z(s). Is 6 a factor of m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000001010101101010111000 - 10?\nAnswer: -100000001010101101010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79037\/10 + 7892. Find the common denominator of 23\/4 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-26)\/14 + 4 + (-18)\/(-21). Sort 11, s, -5, -8, -3 in descending order.\nAnswer: 11, s, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -156 - -157. Let s = 8 - -30. Let p be (s\/16 + -2)*(-4)\/(-9). Sort p, -0.04, z in increasing order.\nAnswer: -0.04, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -27, -49, -91, -159, -259, -397?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 264720421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, n: 7}. Give prob of sequence nny.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 0. Let s(j) = j**2 + j + 1. Let v be s(a). Factor -2\/3 - 2\/3*g**v - 2*g**2 - 2*g.\nAnswer: -2*(g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(156) + sqrt(156))*-4*-3)\/(sqrt(12)\/sqrt(64) - (sqrt(3) - -1*(sqrt(3) + sqrt(147) + sqrt(3)))).\nAnswer: 32*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 + 0)*(4\/(-3) + 3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**4 + z + 321 + 295 - 650 to a*z + m + v*z**4 + d*z**2 + h*z**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 6) + (11 - 19 - -11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**1)**17*d\/(d*(d**(-5\/4)*d)\/d)*d*(d\/(d*d*d**(1\/8)))\/d)**45 assuming d is positive.\nAnswer: d**(6165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*o - 262*o + 12090 = 278*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-30)\/(-8)*(56\/(-42) + -10) and -14\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 4*f + 40 = 5*o, -6289*f + 12574*f - 5 = 2*o + 6282*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25795 and 770?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 416766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/40*(4 - -1). Let x(d) = -7*d**4 + 2*d + 6. Let w(c) = 21*c**4 - 7*c - 18. Let b(a) = h*w(a) - 7*x(a). What is the first derivative of b(m) wrt m?\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5070, -5094, -5130, -5178, -5238?\nAnswer: -5310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/19 + 12 + 650\/(-38). Put 2, 33, q in increasing order.\nAnswer: q, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -154*i**2 + 40*i - 2. Let n(x) = 77*x**2 - 18*x + 1. Let o(b) = -4*m(b) - 9*n(b). Determine o(1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l**3 - l**2 - l - 1. Let z be c(-1). Let a be 1*z\/(-2)*1. Suppose 3*m + 7 = -5. What is the closest to 1\/3 in m, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.6236, 3\/5, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -73.44 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 234703.8 to the nearest 100.\nAnswer: 234700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 - 24823815*r**2 - 24823810*r.\nAnswer: -5*r*(r + 1)*(r + 4964762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8559 - 4174. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 436 at least as big as 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(117) - (sqrt(117)*-2 + sqrt(117)))*4 - sqrt(117) - (3*sqrt(117)*1 + sqrt(117)))\/(sqrt(9)*1*-3 - (sqrt(18)*-2)\/sqrt(2)).\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 46\/3 - 5\/15. Let u(y) = -y**3 - 6*y**2 - 5*y - 2. Let d(x) = -6*x**3 - 42*x**2 - 36*x - 15. Let f(j) = c*u(j) - 2*d(j). Let f(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 3 = -33 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 5*u**2 - 2*u - 5. Let z be j(4). Let g(v) = z*v**2 - v**2 + 0*v**2 + v. Let s(f) = f**3 + f**2 + f + 1. Let n be s(0). What is g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 863 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130*y + 9*y**2 + 130*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6 + -3 - 2)*22. Calculate the greatest common factor of f and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 56739140 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -137\/2 + 69. Let o be (-240)\/(-2340)*(-6)\/(-4). What is the nearest to -1\/4 in -2\/5, p, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 0)\/((-4)\/(-88)). Suppose l*r + 3 = 19*r. What is the second smallest value in 2\/11, r, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(20)\/(2*sqrt(4)) + (sqrt(5) - (sqrt(5) - sqrt(25)\/sqrt(5))) + 1)**2.\nAnswer: -147\/2 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6b (base 12) in base 2?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.0512, -3\/4, 3\/7, 1\/5, 20?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15200 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d + 4*d - 4*d**3 + (2*d**2 + 0*d**2 - 3*d**2)*(-6*d + 4*d + 4*d) + (7*d - 7*d - d**2)*(2*d - 3*d + 2*d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 4*a - 3*f + 3, -3 = f. Let z be (-1)\/((-2)\/8 + 0). Let k be 5\/((-5)\/2) + -2. Put z, k, a in descending order.\nAnswer: z, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -7*v**2 + 11*v + 31. Let a be z(-4). Let c = -123 - a. Solve 7*n - 2*n - t = -6, c*n - 4*t + 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 9 - 1)*(-5 - 2 + 5)*((0 + 1 - 2)*(0 + 2*g + 0) + 4 - 4 - g - 2*g + 2*g + 4*g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 3\/8903?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1798724*-0.84\nAnswer: -1510928.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 542.0427 milliseconds to nanoseconds.\nAnswer: 542042700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 3*q = -25, -5*r = 2*q + 3*q - 100. Suppose r = -2*w + 53. What is the greatest common divisor of w and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 + -3 - (1 + -88). Suppose -d = -3*l + 24. Suppose -4*j + 26 = -l. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*p + 29*p - 309400 = 32*p. Is p a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 AM and 12:23 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i + 7. Let c(y) = -191*y + 45. What is the remainder when c(0) is divided by o(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -0.2, -11, -10\/267, 2 in descending order.\nAnswer: 2, 0.3, -10\/267, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - b + 2*b - 31 = -5*b, -2*t + 7*t + 12*b - 37 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 172 = 4*j, 35*j - q = 142 - 1783 for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h + 3 = 9*h. Let z = 9 - 5. Let p(y) = y - 6. Let s be p(6). Which is the third biggest value?  (a) h  (b) s  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4729637 is divided by 336.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 598317 - 598316.489867. Let b = -0.97 - -1.48. Let p = y - b. What is p rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 847 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -0.137.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (202\/707)\/(13\/(-7)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1312*f + 824*f**4 + 1312*f + 99*f**4)*(-6*f - 13*f + 12*f).\nAnswer: -6461*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63104 and 367720?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1452 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**2 - 2*s**2 - 2*s**2 + s**2 + 3 - 3 + (239 + 79*s - 239)*(s - s + s) + s**2 - s**2 + 2*s**2.\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 2 - 2 + (-3*a - 4*a + 3*a)*(-3 + 2 + 3))*(-1 - 3 + 7)*(-3*a + 0*a + 6*a).\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -8*u**2 - 3114*u - 3880. What is n(-388)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/(-12))\/(-35*60\/(-70)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - 8*h + 2*h)*(1 + h**2 - 8*h**2 - 2*h**2 + h).\nAnswer: 27*h**3 - 3*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*g**2 + 13*g**2 - 49*g**2 + 16*g**2 + 2*g**2 - 2*g to d + r*g**2 + l*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3737205)\/1302)\/141 + 20.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/7, -2\/3, 2 in descending order.\nAnswer: 2, -2\/3, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 12 = 4*o, 4*y + 6 = -0*o + 2*o. Let c(b) = 2*b - 4 + 3 - 1 + o. Let x(z) = z + 1. Calculate -c(g) + x(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 2*r**2 - 296424*r - 2. Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 - 19. Suppose 3*a = 2*a - y*l + 42, -3*l = -4*a + 179. Is a <= 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.51733 take away 1.5?\nAnswer: -0.98267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4*1\/18)\/((-2)\/(-18)). Suppose -c*s - l = -214, 5*l = -7*s + 4*s + 314. Calculate the remainder when s is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b + 7. Let k(w) = w + 3. Let a(n) = -n**3 + 2*n**2 - 3*n. Let r be a(2). Let v(u) = r*c(u) + 10*k(u). Let p be v(8). Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(-6)\/(-154) - 2\/(-11). Put u, 4, 5, -3 in increasing order.\nAnswer: -3, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/257 or 1?\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-20 + 1)) + (-6 + 150 - 145)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8255648 and 4.\nAnswer: 33022592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -45.96.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4*l = 0, 2*l = 3*g + l. Let q(i) = 2*i + 39. Suppose -3*o + 45 = 15. What is the remainder when q(g) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17366090 a multiple of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + s = -22, -2*z = z + 4*s - 4. Let l(i) = 3*i - 13. Let w be l(5). Let v be z + 103 + (0 - w). Calculate the greatest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-5)*(-20)\/(-8). Suppose c*r = 5*r + 18. What is the units digit of 3\/r - 120\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*c - 99*c + 25*c - 63*c - 43*c to q*c + u and give q.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293154 is divided by 19543.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/5 in 78937, 5, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 + 14 = 11*w. Suppose 51 = w*h + 3*s, -h - s + 37 = 2*h. Let j = 13 + -7. Calculate the highest common divisor of h and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/30)\/(15\/(-30)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 121*6\/4*(-104)\/(-39). Let s = q + -412. Let k(b) = 6*b + 6. Let n be k(7). What is the greatest common divisor of s and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.066965033 times 5\nAnswer: 0.334825165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.052 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 15 = 0, -2*w + 77 = -a + 8. Calculate the remainder when w is divided by 8 - (212\/(-159) - 13\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(27) + -5 + sqrt(27) + 0)*-2.\nAnswer: -36*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -4*h + 22, 2*n + 7 - 18 = -h. Let p be (-13)\/2 - 2\/(-4). Let v be (1\/2)\/((-1)\/p). Solve v*j = 5*y - h, y = j + 4 - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-47)\/(-282))\/((-87)\/(-30) + -3). Which is the nearest to 0.1?  (a) 0.2  (b) -8  (c) -0.08  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26 + 38. Let q(p) = 31*p**3 + p**2 - p + 1. Let o be q(1). Solve -k = -4*i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yxxfvvccyyxyyxtyctxy. Give prob of picking 1 t and 2 y.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*y = 45*y + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14610024 by -30186.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4\/3  (b) -3\/7  (c) -1\/4  (d) 4.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 0*o**3 - 1\/2*o**4 - 1\/5*o**5 + 0*o + 1\/6*o**6 - 34 + 0*o**2. Solve d(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/2?  (a) -1.2  (b) 7\/10  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -11*j**2 - 23*j + 5. Let p(v) = -5*v**2 - 11*v + 2. Let s(q) = -9*p(q) + 4*y(q). Find the common denominator of s(-9) and 43\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23644179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -320.6, -0.1, -7, 112 in descending order.\nAnswer: 112, -0.1, -7, -320.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + (0 - 3))\/(-1). Suppose -8*c = 140*c + 250 + 342. Sort c, h, 20.\nAnswer: c, h, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1489 - 74?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 550542287 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/(-2) - (-1)\/2. Let z = -1264 + 1319.7. Let o = z - 59.7. Which is the fourth biggest value?  (a) n  (b) o  (c) -2\/11  (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -15*l**3 - l - 2. Suppose m = 2*m - 2, 0 = 5*r + 2*m - 14. Let q be i(r). Let d = q - -1366\/11. What is the nearest to d in -4, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**(2\/3)*s)\/s**(-2))**(-13\/2) assuming s is positive.\nAnswer: s**(-221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 290, 223, 190, 209, 298?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -633 = -24*h - 153. Solve -5*i = -h - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -151*x**2 - 237*x + 237*x as a + w*x + q*x**2 and give q.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fftf. What is prob of sequence ftff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i + 2*w + 2, 26 - 16 = 4*i + 2*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**4 + 2*b**4 - 5*b**4 + (-2*b**2 - b + b)*(-1 + b**2 + 1) - 4*b**4 - 3*b**4 + 5*b**4 - 19*b**4 - 78*b**4 + 42*b**4 + 2*b**4 - 2*b**4 + b**4.\nAnswer: -61*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*b - 10 + 10)*(-19 + 35 - 22)*(-8 + 3*b + 8).\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11718 - -11785. Calculate the remainder when b is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -6*v**2 + 3*v - 1. Let g(i) = 205*i**2 - 10*i + 4. Determine -g(y) - 4*q(y).\nAnswer: -181*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 20, 13, 6?\n\"Answer: -7*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1124 by 6.\nAnswer: 562\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27837265*b*n**2*t**3 + 67*b*n**2 - 375120*n**2 wrt t?\nAnswer: 83511795*b*n**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 567 and 6156?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/4)\/(3\/(-136)). Let d be 21\/(-12)*(0 - p). Find the second derivative of 0*q + q - d*q**4 - 6*q + 122*q**4 wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aoahnoohoshanahn. Give prob of sequence hsh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y**3 - 17*y**2 - 11*y - 63. What is the remainder when 123 is divided by s(-5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 66 + 12. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -215572 divided by 3?\nAnswer: -215572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 6. Let n(t) = 17*t**3 - 3*t**2 + 2*t. Let j be n(1). Calculate the remainder when ((-8)\/(-1))\/(j\/80) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -13*m - 1. Let w be z(-1). Suppose i + 3*i + w = 0, -5*j - i = 198. Let f = -40 - j. Which is the closest to f?  (a) -3  (b) 3  (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94786, -190536, -286286, -382036, -477786?\nAnswer: -573536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 364 = 5*d, -2*u - 164 = -2*d + 3*u. What is the lowest common multiple of (-101)\/(-9) - 16\/d and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1dcc9 - -5?\nAnswer: -1dcc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**2\/5 - 1028*y\/5 + 132098\/5 = 0 for y.\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssgg when four letters picked without replacement from {s: 3, g: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9404 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2690?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 77 - 194. Suppose 0 = 11*z + 1025 - 3148. Let y = z + v. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 - 14 - 11) + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of 12*d**2 - 5\/6*d**4 + 0*d**3 + 0*d**5 + 0 - 17\/120*d**6 + 0*d. Find the second derivative of r(x) wrt x.\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -4*d + 124258, 6*o - 2*d = -3*d + 149121. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of 5*b**4\/2 + b**3 + 3. Find the third derivative of q(t) wrt t.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 - 28. Let j be (-52)\/(-18) + (-1)\/(-9). Suppose -6*b + 72 = j*b. Solve -12 = -2*u - 4*s, -3*u + u - 2*s + b = g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -684, -2723, -6114, -10857, -16952?\nAnswer: -24399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 924 and 112.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45.4 - 0.2.\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 23*s**2 - 28*s**2 + 115*s**2 - 26*s**2 - 45*s**2.\nAnswer: -7*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 0*g + 11 = 4*q, 3 = q. Let z = 4 - g. Solve 0 = z*s - 5 - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**4 + u**3 - 11*u**2 + 3*u. Let b(l) = -2*l**4 + 2*l**3 - 35*l**2 + 8*l. Let r(o) = 3*b(o) - 8*q(o). What is the third derivative of r(g) wrt g?\nAnswer: 48*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -12, -13 in ascending order.\nAnswer: -13, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13775392 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3684 or -368?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -864 by -2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y - 11. Let t be u(9). Let o(z) = -z**3 + z**2 - 2*z. What is the units digit of o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4830.\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4991025433.\nAnswer: 19541, 255413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -25\/4, 40, 13, 1 in decreasing order.\nAnswer: 40, 13, 1, -25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-42)\/(-315) - (-124)\/(-30). Let t = -0.2 - -2.2. What is the second smallest value in t, 5, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (5 - 51) + (22 - 7 - 6).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 46566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 181802.98 + -1268?\nAnswer: 180534.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3723 and 441060.\nAnswer: 437337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -115 - -129. Let g be 98\/28*120\/u. Suppose g = 11*m - m. Solve m*t - 8*t - 15 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 16326 - 16326 + 2*z. Let f(r) = -5. Let m(p) = p**2 + 30. Let v(y) = 30*f(y) + 5*m(y). Give a(v(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 21*p**2 + 5*p + 11. Let a(n) = n**3 + 7*n**2 + 6*n - 6. Let g be a(-6). Is f(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from pmxpvm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 9618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.042 plus -15335?\nAnswer: -15335.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*x + 5*h - 4, -2*h + 10 = 2*x. Suppose x = -2*l + 1. Let w(c) = -c**3 - 5*c**2 - 4*c + 4. Calculate w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d + 5, 4*s - 417*d - 15 - 4 = -420*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 240466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45 - -49. Let k(j) = -j**3 + 5*j**2 + 3*j + 6. Let q be k(5). What are the prime factors of m\/6*q\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of 1\/336*j**8 + 0 + 0*j**7 + 0*j**5 + 0*j + 4*j**2 + 0*j**3 + 1\/8*j**4 + 0*j**6. Find the second derivative of v(d) wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 3, 311121.\nAnswer: 3, 7, 311121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 329 = -14*h + 189 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 11, 3, 173, -75, 14 in descending order.\nAnswer: 173, 14, 11, 3, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -8*g**5\/5 + g**4\/12 - 7*g**3\/2 - 67*g. What is the second derivative of p(w) wrt w?\nAnswer: -192*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 0. Let q = 29 - 29.4. Which is the closest to -1?  (a) 0.5  (b) z  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/9)\/z*z*z\/(z\/z**(-9)) assuming z is positive.\nAnswer: z**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -3*i - 2*s, 3*i - 6 = s + 2*s. Let x(z) = z + 5. Let p be x(i). Let 5*n + 5*n**2 - 6*n**p - 2*n**2 + 31*n - 108 = 0. Calculate n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + b = -2*b - 13, 3*b + 7 = -x. Suppose 4*a + 6*p = x*p + 512, -4*p + 4 = 0. Suppose a + 17 = 2*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/104 and -7\/22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.2, 0.1, -242, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8602726.\nAnswer: 2, 11, 127, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4, 8, 22, 52, 104, 184, 298?\n\"Answer: f**3 - f**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/64 and -25\/13297816.\nAnswer: 106382528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k**3 - 10*k**3 - 4*k**3 - 11*k**3 + 34*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10387 is divided by 1476.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0 - 6 = -3*u, 2*u - 4 = -3*b. What is the remainder when 99\/4 + (-5)\/(-20) is divided by ((-26)\/5)\/(u\/(-5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24028708 + -42691085. Let l = -29002377 - b. Round l to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12 + -15234249?\nAnswer: -15234237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/12)\/(27\/243). Suppose -2*l + 6 - 2 = 0. Let d be (1 - (-2)\/(-4))*-6. Which is the third biggest value?  (a) l  (b) s  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1324\/((-11)\/((-297)\/18)).\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -u**5\/420 + 43*u**4\/168 + 22*u**3\/21 - 3920*u**2. Find n such that q(n) = 0.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-8)*(-51048)\/(-7090).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + 133102123?\nAnswer: 133102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 9:16 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -20813, -41625, -62437?\n\"Answer: -20812*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 51*d + 5 + 41*d.\nAnswer: 92*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b**3 - 4*b**2*z - 1167*b**2 + b + 6677*z + 4 wrt b.\nAnswer: -6*b**2 - 8*b*z - 2334*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 23 - 20. Suppose 0 = -i - 4*i + 25. Put 0.5, 0.1, w, i in descending order.\nAnswer: i, w, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22092*x + 265745 = 945871 + 159370 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 342 + 388. Suppose j = -5*y + 631. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v. Let g(f) = f. Suppose -4*w - 53 = 3*d, -w - 51 - 11 = 4*d. What is d*g(j) + 3*c(j)?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 594 is divided by 150?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 5*d - 108. Suppose -d = -2*u + 19. Let p = 61 - 18. Calculate the remainder when p is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 - 4*b + 7. Let c(y) = y**2 - 2*y + 3. Give 5*c(w) - 3*p(w).\nAnswer: -w**2 + 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*z + 77. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 137464796*p**3*w**3 - 73*p**2*w**3 + 33*p**2*w**2 + 208*p*w**3 - p + 2*w**2 + w wrt p.\nAnswer: 824788776*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55216946 is divided by 36495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4105022 (base 7) in base 5?\nAnswer: -111123014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1133282.\nAnswer: 2, 83, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 157*v + 218.\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*c + 14 = 7*z, -5*z + 5*c = 5. Let h = -299 - -349. Calculate the remainder when h is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -313060*s**6 + 63*s**3 - 15601*s**2 - 691*s + 1?\nAnswer: -37567200*s**3 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 5*h - 3*k + 25, 2*h + 13 = k. Let q(w) = -w**3 + 15*w + 8. Let v be q(h). Solve 5*x + 7 - v = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-576)\/432*(-70)\/(-16)*714\/85.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 7355*q + 7. Let x(n) = 2*n. Give x(i(w)).\nAnswer: 14710*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -343*b**4\/8 - 3724*b**3 - 121296*b**2 - 1755904*b - 356. Factor y(v).\nAnswer: -(7*v + 152)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u. Let n(f) be the second derivative of f**4\/12 + 4*f**3 + 2*f. Determine n(w(k)).\nAnswer: 4*k**2 - 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-8) + 114609\/552. Suppose 315 + 86 = 4*a + 3*t, 4*t = -20. Suppose -3*d - d = -a. What is the greatest common divisor of d and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 252461, 252459, 252459, 252461, 252465, 252471?\n\"Answer: b**2 - 5*b + 252465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 252486 and 10814817.\nAnswer: 64888902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197*y - 216 + 2974 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/((-24)\/9)*(-20)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 4*o + 1. Suppose 4 = 4*x - 6*x, 2*r - 14 = 4*x. Suppose -4*b - 4 = -r*b. Determine l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19158470 to the power of 1\/2, to the nearest integer?\nAnswer: 4377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26262 + -9395. What is the highest common factor of 202 and w?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 341*b**2 - 7741 + 3851 + 3890.\nAnswer: 341*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 1287*p + 1288*p - 2576*p. Let s(m) = -m**3 + 6*m**2 + 2*m - 1. Let x be s(5). Let t(y) = -x + 15*y + 34. Calculate t(q(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + 4*z - 6*z)*(-1 + 2*z + 1) + 154 - 154 - 54*z**2.\nAnswer: -56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f**3*s - 5554*f**3 + 5*f**2*s + 2*f*s + 2*f + 72 wrt f.\nAnswer: -12*s - 33324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from bbbmbbbbbbbrrbr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(t\/t**(2\/3))*t*t*t\/t**(-1\/2)*t)\/((t\/t**(-1\/2))\/t*t)**(-2\/37))\/(t**(-2\/9)*t\/t**0*t**(1\/8)*t\/t**(-4\/9)*t*t*t*t) assuming t is positive.\nAnswer: t**(-265\/2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*s**2 - 3733*s**4 + 18 + 3731*s**4 - 31*s**3 - 19 to l*s + f*s**3 + g*s**4 + w*s**2 + x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 4*m + 36 = 0, -2*y + 24 = 232*m - 236*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -19*r - 46. What is the remainder when 568 is divided by c(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 14, s: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4*t**2 - 2*t + 2. Let w(q) = q**3 + q**2. Let v(j) = -s(j) + 4*w(j). What is the tens digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - -3) + 4 + -2. Suppose 5*b - 30719 = 4*w, -30714 = -m*b + w - 2*w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 15*n**3 + 31247*n**2 - 31207*n**2 + 7 in the form c*n + o*n**3 + v + w*n**2 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 3*c = -18, 0 = 2*j + 5*c - 1 - 18. Suppose 2*w = j*w - 5. Let m = w + 3. Solve 0 = -2*d - 4, -y - y + 10 = -m*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7854300 and 1800?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/11)*h)\/((h\/h**(-3))\/h)*(h*h**(1\/3))\/(h*h**(-2)\/h)*(h*h**(2\/21)*h*h*h**(-6\/11))\/(h*(h**(-2\/3)*h)\/h)**(-41) assuming h is positive.\nAnswer: h**(4012\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bvlv when four letters picked without replacement from bxvblvbllvlllvvlll.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10\/3)\/((-6)\/(-9)). Find the second derivative of -7*b**5 - b + 4*b + 9*b**c wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 103830 and 120?\nAnswer: 415320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 2*l**2\/5 - 3144*l\/5 = 0.\nAnswer: 0, 1572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 + (-2)\/4)*(0 - 34). Let i(j) = v*j - 236*j + 116*j. Let d(h) = 63*h. What is d(i(y))?\nAnswer: -63*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.4 + 0.3. Let u = 9 + -6. Let x be (8\/(-20))\/((-12)\/10). What is the nearest to v in 1, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 91 and 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 11*b**2 - 7*b + 15. Let z be f(-10). What is the remainder when 43 is divided by z*(2 + (-6 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 4:48 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 - 13*z**2 + 6*z + 57. What is the smallest common multiple of m(13) and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 38610 and 3861?\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1599*l**5 - 952*l**5 - 1137*l**5 + (-40*l + 14*l**4 + 40*l)*(2*l + 3*l - 6*l).\nAnswer: -504*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.207, -3\/4, 1\/6, 351?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 3*z + 73. Let d = 19 - 33. Let i = d - z. Solve 5*c - 5*t - 15 = 0, 4*c + 0*c + i*t = 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - -7) + -48 - (2 - -2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 3. Let z(o) = 2*o + 0 + 2 - 3*o. Let x(b) = -b**2 + 7*b + 26. Let q be x(-3). Let a be z(q). Determine t(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.15474 - -204.24474. Let b = -261.68 - -58.68. Let x = l + b. Round x to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 452031310?\nAnswer: 2, 5, 45203131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 0.3, 73\/10, -0.1 in increasing order.\nAnswer: -0.1, 0.3, 73\/10, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 17*g**2 + 3*g - 1 + 20*g**2 + 19*g**2 - 55*g**2. Calculate a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1bdb88 (base 14) in base 5?\nAnswer: 223421343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*n - 4*n**2 - 32*n)*(-1 + 1 - 1 + 1 + 1 - 1 + (1 + 1 - 4)*(1 + 3 - 5) - 3 - 1 + 3 - 4 + 19 + 0 - 2 - 3 + 3 + 2 - 3 + 3).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 7:49 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 410308 is divided by 9523?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**6*v**5)**10)**(-5\/4) assuming v is positive.\nAnswer: v**(-275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gmd when three letters picked without replacement from mmgdgdgggm?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -40) + (307 - 265 - (49 + -2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-9)\/(-7) - 1. Let w be 11*(-12)\/(-132)*(-2)\/(-5). What is the nearest to w in b, 2, -0.11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + p + 1. Let t(q) = q - 1. Let d(f) = 3*f**2 - 8. Let v(a) = -d(a) + 2*t(a). Let r = 62 + -61. Determine r*v(h) - 4*w(h).\nAnswer: h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4236, 33858, 114254, 270810, 528912, 913946, 1451298, 2166354?\nAnswer: 3084500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1038, 1126, -696, -5382, -13886?\nAnswer: -27162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1898987201.8 less than 7860?\nAnswer: 1898995061.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (14138\/8)\/((-75)\/(-175) - 10\/56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express (-3*u**2 - 3*u**3 + 3*u**2)*(3*u + 3*u - 3*u) + (3*u - 4*u + 2*u)*(2*u**3 - 2*u**3 + 3*u**3) in the form r*u**2 + g*u**4 + a*u + t + v*u**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6499.207kg?\nAnswer: 6499207000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7385, -7071, -6739, -6383, -5997, -5575?\n\"Answer: o**3 + 3*o**2 + 298*o - 7687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - l**2 + 3*l - 3. Let j(z) = z**2 - z + 1. Let a(s) = 6*j(s) + 2*n(s). Find the third derivative of a(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -2. Let j be 9\/7 + 6\/(-21). Let m = a + j. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4089226 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5352.6 + 5353. Which is the closest to -4?  (a) -1  (b) x  (c) -0.5  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1802972 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*l - 52*l = -2. Solve m + u = -6, 5*m = 3*u - 0 + l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -2*u**2. Let r = 8 - 5. Suppose a + 1 = r. Let m(j) = 2*j**a - 4*j**2 + 5*j**2. Give m(y(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 20*z + 3. Suppose 14*a - 11 - 3 = 0. Let d(x) = x + 1. Let u(b) = a*w(b) - 3*d(b). Let y(o) = -2*o. Calculate u(y(i)).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*o**2*x + 3*o**2 - 2*o*x - 93*x wrt o.\nAnswer: -4*o*x + 6*o - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 15*i**2 + 13*i - 14. What is y(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -6*k**3 - 7*k**2 - 6*k + 9. Give o(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1522489, 1522544, 1522635, 1522762, 1522925?\n\"Answer: 18*u**2 + u + 1522470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 AM and 1:55 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of -9*j**5\/5 + j**3\/3 - 7. Find the third derivative of w(d) wrt d.\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 23\/45736?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 5*f + 3*f - 3 - f**2 + f**5 - 5*f**3 - 1 + f**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 13. Let r(p) = -c*p**2 + 0*p**2 - p**3 + p**2 + 1. Calculate r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 a when three letters picked without replacement from {a: 3, d: 9}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7\/106 - -757\/9858. Is v at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in twenty-seven quarters of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 1 = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-198)*208\/(-189). Let t = -1\/27 - b. Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 1:26 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 135287 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 2121 + 1101. Suppose b + 1626 = 12*s. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 1719 = -31273. What are the prime factors of s?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + m**2 + 9. Determine z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 17\/19156 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -6, 172, -48, 5 in descending order.\nAnswer: 172, 5, 3, -4, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 1 + 1 - 10. Let z be a\/(-4) + (-2)\/4. Solve -4*f - 4*d = -z*d + 4, -2*d = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + n - 6. Let c be k(-2). Are -8 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggj when four letters picked without replacement from jggggggjggggggggggg.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 449940285 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzizzizzazzzzz. What is prob of sequence aizi?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/4, 0.5, 24, -4, 1\/3, -3317?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -1.6  (b) -6086  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30663 by -547.\nAnswer: -30663\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*j**6 + 2*j**4 - 15707*j**3 + 32110904*j**2?\nAnswer: 2160*j**3 + 48*j - 94242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -346508 (base 11) to base 5\nAnswer: -120102231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5634, -5639, -5662, -5703, -5762, -5839, -5934?\nAnswer: -6047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9180, -18370, -27560?\nAnswer: -36750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1716 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 148 - 145.31. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41.932 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -85 by -5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860121?\nAnswer: 3, 95569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/11)\/o**(-8\/9))\/((o**7*o)\/o**(-2\/23)) assuming o is positive.\nAnswer: o**(-16804\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -43*h + 1376 - 1548 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 - -56. Suppose -a = 5*y - 61, 4*a + 18 = -2*y + 46. Calculate the remainder when q is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30 + -27. Suppose 4*a + o*x = 12, 4*x + 31 + 9 = 4*a. Suppose 16 = 2*w + a*w. What is the remainder when 3 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 110 = -4*u - 40, 5*u - 3*l - 86 = 0. Suppose 11 = -u*x + 144. What is the remainder when 60 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96682 is divided by 597.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 112 - 107. Solve a + 4 = 2*b, -4*a + 5*a - 24 = -f*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 638, 682, 728, 776, 826?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 205 and 34030?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and -89101817867140.\nAnswer: -89101817867140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*n + 2*l + 22, 2*l + 170 = 4*n - 155 + 281 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-144)\/(-480))\/((-49)\/35).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 57 - 57. Let z = -39 + 111. Suppose a*r = -4*r + z. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 4 = 2*x, -14*u + 11*u = 3*x + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2479*p - 3*p**2 + 2479*p - 62124.\nAnswer: -3*p**2 - 62124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2199580 is divided by 414?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 1 - (2 - (5 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 216 and 10483260.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2\/11  (b) -2\/7  (c) -298  (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 0 + (sqrt(832) - ((-2*sqrt(832))**2 - sqrt(832)))*-2 + -3*((sqrt(832) - (sqrt(832) + 1)) + sqrt(832) - sqrt(832))**2 + -3.\nAnswer: -32*sqrt(13) + 6647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 747 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 5:47 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4966, -2, 4, 3, -3 in increasing order.\nAnswer: -3, -2, 3, 4, 4966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48782301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010201 - 1112010?\nAnswer: -101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14478 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -5*u + 25, 2*u = -3*u + 2*t + 20. Let d = 4 - u. Find the first derivative of 0 + x**2 + 4 - 2*x**d wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -13 - 81\/(-9) - 4. Let x(n) = 6*n**2 + 12*n - 33. What is the remainder when x(z) is divided by (-86)\/(1 - 1 - 2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*f + 2*b + 401 = 0, 0 = 2*f - 5*b - 19 + 28 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 7) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 6.8006\nAnswer: -1.8006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b - 2. Let l(w) = -4*w - 1. Suppose 2*f - 4 = f. Let d(p) = f*l(p) - 3*r(p). Determine d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 15\/5357, 5, -60, -3\/4 in increasing order.\nAnswer: -60, -5, -3, -3\/4, 15\/5357, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.5 - -15.5. Let h = -13.811 + -0.089. Let w = o + h. Which is the second smallest value?  (a) w  (b) -0.04  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 8*q + 9. Let r be t(-7). Let h be 0\/(0 - (-1 + 3)). Suppose -12 + h = -r*u. What is the highest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -392 = -55*s + 158 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 11:31 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**13\/(s\/(s\/s**(-16))))**(2\/7) assuming s is positive.\nAnswer: s**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + ((sqrt(13)*1)**2*4 - sqrt(13)) - 6*(sqrt(468) + 2)).\nAnswer: -111*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and 0.7825.\nAnswer: 5.4775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 < 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005214353 rounded to seven dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7\/2168 + 150697\/6504. What is the common denominator of 311\/(-60) - (-4)\/(-6) and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = 5*l + 27, l = 10*b - 9*b - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**3 - 84*f**2 - 552*f - 1120 = 0. What is f?\nAnswer: -10, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 6231*x + 37439. Determine g(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -11*w - 188. Determine b(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -40baa (base 12) in base 2?\nAnswer: -10100101010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -605936700 by 224421.\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7, q: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + 184604*p + 553816. What is g(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02 - -46153.\nAnswer: 46153.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/6 - 1194\/(-18). Suppose -4*v - 91 = -9*v + 3*b, -3*v = 2*b - i. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {p: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -95\nAnswer: -4\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1897 - 7587\/4. Solve 1\/4*x**3 + 1\/4*x**2 - 1\/4*x + 0 - b*x**4 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**5\/60 - 13*p**4\/24 + 19*p**3\/3 + 3*p**2 + 2. Differentiate f(w) with respect to w.\nAnswer: -2*w - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7*13\/(-273))\/((-4)\/60)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q - 6 = 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*m + 9177 - 1767 = 0. Let h = 288 + m. Solve -2*c = 4*v + h*c + 7, 5*v + 16 = c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 555811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**3 + 9*v**2 + 4*v - 18. Let w(b) = b**3 + 10*b**2 + 3*b - 18. Let g(i) = -2*f(i) + 3*w(i). Give g(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 4:56 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 4*z**2 + 2*z - 5. Let m be x(4). Let q = 6 + -3. Calculate the highest common factor of m and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + 5*h + 27. Let n be u(7). Suppose -n = -4*x + 12*o - 15*o, 4*o = -4. What is the highest common divisor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*l = -2*z, 4*l = -4*z + 32. Let j = z + 5. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 + 15*i + 15. Let f be r(-15). Let s be 6\/f + 14\/(-10). Let b be (-3)\/(-4) - s\/4. What is the greatest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10967967*y**3 + 711*y**2 + 23590.\nAnswer: 65807802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - z**2 - 2*z - 4. Let o(d) = d**3 - d**2 - 3*d - 3. Let i(f) = 2*o(f) - 3*y(f). Give i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/8265, 166, -5, 4?\nAnswer: -2\/8265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bii when three letters picked without replacement from {w: 1, b: 4, z: 2, i: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -4\/5 - 2\/5*f**2 - 6\/5*f = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + 5 + 1 + (2 - (-10 - -21)) + 50.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33\/43 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 17, 4\/3 in descending order.\nAnswer: 17, 4\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -64*j**3 + 1. Let g be b(-1). Suppose g = 3*d - 205. Suppose -3*k = 5*q - k - d, 0 = -4*k. Calculate the least common multiple of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 2*z + 2*z)*(4 + 0 - 2) + z - 2*z + 3*z - 4*z + 0*z + 6*z + 2684*z - 1165*z + 951*z + 898*z + (1 + 0 - 2)*(-1 - z + 1).\nAnswer: 3375*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 350840*c**2*m**3*q + c**2*m**2*q + 63650*c**2*q + 2*c*m**2*q + c*q - c + 2*m**3*q + 3*m**2*q wrt m.\nAnswer: 2105040*c**2*q + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 1 + 0)*(-2*g**2 + 2*g - 2*g) + g**2 + 0 + 0 - 9*g**2 - 7*g + 7*g)*(7*g**3 + 3*g**3 - 3*g**3).\nAnswer: -28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 3*d - 59466 = 2*d. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (-5 + -2*sqrt(11)) - (sqrt(396) + -1)) + -5 + 1.\nAnswer: -3*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2289*w - 11251 - 8831 - 61135 - 76724 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 2*n + 113166, -164*m + 166*m - 45267 = n. List the prime factors of m.\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2*p + 116, 5*i - p - 3*p - 254 = 0. Let f(w) be the first derivative of 96\/5*w**5 + 57\/2*w**2 + 4 - 6*w - i*w**3 + 24*w**4. Solve f(u) = 0.\nAnswer: -2, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1675?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 341438 and 10665?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14\/15 + -4\/3. What is the closest to a in 5, -8\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((v - v - 2*v)*(4*v + 0*v - 2*v) - 3 + 3 - 2*v**2)*(23*v**2 + 83*v**2 - 26*v**2) as r*v**2 + a*v**4 + p + q*v + x*v**3 and give a.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 2*j = 31, -4*v - 15 = -5*j + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 5, -127 in increasing order.\nAnswer: -127, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 163816*h**3 + 164375*h**3 - 560932*h**3 - 645910*h**3.\nAnswer: -878651*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -u - 2, -3*u - 4*k - 114 = -119 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 3053 = -5*q, -1355 + 3796 = 4*q + r. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.43271 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 189.67 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - 3*c + 37, -m - 1917*c = -1916*c - 8 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10 - -6 - (0 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1343255 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58345 + 257625 = -3184*d - 33152 for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2146*p - 24 = 2170*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 4*n**2 - 130*n - 1122. List the prime factors of t(-49).\nAnswer: 2, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 3*r = -69, -4*r = -2*p - 1094 + 1186 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ddsdislpsdpzd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**5 + 932*d**4 + 67704*d**3 + 1109296*d**2 - 32544160*d - 105862656.\nAnswer: 4*(d - 16)*(d + 3)*(d + 82)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b + 6 - 6)*(-1 + 2 - 2).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n**2 - 58*n - 10. What is y(30)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7093 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*a - 367127 - 782204 = 0. Suppose -27101 - a = -37*y. List the prime factors of y.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.026  (b) 145  (c) 5  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1013 - 11?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8512 - 8511. Sort 0, h, 68 in decreasing order.\nAnswer: 68, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i = -4*x + 88, 261*i = 257*i - 56 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from crsrccsgcxscncg. What is prob of sequence ccc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -7*d**2 - 67*d + 34. Let u be n(-5). Solve u*r = -4 - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5885.491 kilograms to milligrams.\nAnswer: 5885491000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 53657935769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -9*q**3 + 0*q + q**2 - q - 8 + 7. Let w = 3 + -2. What is the least common multiple of w and x(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -69.96 - -70. Put c, 0.2, -0.5, -0.1 in increasing order.\nAnswer: -0.5, -0.1, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -110994, -110993, -110992, -110991, -110990?\n\"Answer: g - 110995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 116\/(-87)*((-38)\/2 - (-2)\/14). Suppose 4\/7*t**2 + w*t + 1936\/7 = 0. Calculate t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 55555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 604341616?\nAnswer: 2, 53, 149, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -869.2 - -871.2. Which is the third smallest value?  (a) 1\/17  (b) l  (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2805883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -4066404*d**2. Let f(r) = -59*r. Give f(u(n)).\nAnswer: 239917836*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-190)\/15)\/((-7)\/(21\/2)). Suppose -14*y + 149 + q = 0. Solve -y = o - 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-17717)\/(-63) - 4\/18. Is f\/9 - 2\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3220817 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c - 6*c**3 + 3*c**3 - c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 126 - -405566?\nAnswer: 406025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -29, -2, 50 in decreasing order.\nAnswer: 50, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 4*s - 9. What is the remainder when ((-18)\/24 - -1) + 177\/12 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-11\/6)\/d)**(15\/11)*(d**(2\/3)*d)**(-45) assuming d is positive.\nAnswer: d**(-1735\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 13582.\nAnswer: 13583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(18) - 2*sqrt(36)\/sqrt(2)))**2.\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-220)\/165)\/(-2*2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9879 and 1443?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51266278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 3*n - 571 = 0, -3*v = -2*v + n - 148. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -403 (base 9) to base 13\nAnswer: -1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 15 = -3*k, 2*k - 18 = -5*o + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**4 - 22*p**2 + p - 110 wrt p?\nAnswer: 24*p**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-2))\/((-5)\/(10\/(-18)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 32, -3, -104, -301, -624, -1103, -1768?\nAnswer: -2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 2*x**2 - 3*x - 2. Let d be y(-2). Suppose 0 = 6*h - d*h. Suppose -5*w + 5 + 4 = -s, h = 5*s - 5. Let j(l) = -l + 3. Give j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**2 + 956*j - 114242 = 0.\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = c + 7, -2*h - 5*c = -h + 4. Let k(m) = m + 1. Let n(a) = 6*a**2 - 4*a - 3. Let d(w) = 3*k(w) + n(w). Determine d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -66\/911 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 1:39 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + (sqrt(68)\/(sqrt(12)\/sqrt(3)))**2 + (sqrt(17) - 1*(sqrt(17) + 2)).\nAnswer: sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u - 35 = 41. Let o(w) = -w + 1. Let h(v) = 5*v - 6. Let b(q) = 2*h(q) + 11*o(q). Give b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 51 = -19*u. What is the remainder when 58 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2653, 2652, 2651?\n\"Answer: -c + 2654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - (3*sqrt(66)*1 + sqrt(66) - sqrt(66)))\/sqrt(6).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -81444990 rounded to the nearest 10000?\nAnswer: -81440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 251277 divided by 1356\nAnswer: 83759\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 7*v**2 - 142*v + 472. Calculate i(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2773\/9?  (a) 2\/7  (b) -2\/7  (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 8*q**4 - 6*q**2 + 3*q. Let o(m) = -15*m**4 - 5*m + 6*m**2 - m**2 + 6*m**2. Let s(l) = 11*c(l) + 6*o(l). What is the second derivative of s(b) wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 9. Suppose -n*g - 8 = -g. What is the remainder when 49 is divided by g\/(-12)*(-51)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2149917, -4299803, -6449689?\nAnswer: -8599575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 901625 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2940.964 litres?\nAnswer: 2940964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.07828 and -0.067397.\nAnswer: -0.00527583716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 8:16 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -137a5d (base 15) in base 12?\nAnswer: -392451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.061 + -0.0609523. Round j to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-120)\/(-3))\/5)\/((-8)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -9 + 5\/4*d**4 - 4*d + 7\/3*d**3 - 4*d**2. Solve w(z) = 0 for z.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 7 + 1. Let t(q) = -q + 1. Let f be t(2). What is the tens digit of 36 + b + -4 + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {x: 1, w: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 584?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11682*w = -5*k - 11683*w - 26, -3*k + 4*w = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 257833756.\nAnswer: 2, 64458439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 180 and 160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 275212459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -5617*u - 3444. Let c(n) = -78*n - 48. Let o(i) = -287*c(i) + 4*w(i). Let v(s) = -3*s. Determine o(v(h)).\nAnswer: 246*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 697705.1mm?\nAnswer: 69770.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 83 - 2 - 36 = -2*z, 4*z + 8 = 0 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o + 3. What is x(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.242 in -2\/17, 2, 1.6, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 230.15114858 rounded to 3 decimal places?\nAnswer: 230.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 14*m - 13. Let f be h(1). Sort 5, -0.4, f, 1\/3 in decreasing order.\nAnswer: 5, f, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/14 - (-22)\/12)\/((-165)\/((-990)\/(-8)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 729 + -2101. Let z = l + 1939. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2500000 to the nearest 10000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (135\/60)\/(300\/(-80)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 30*x**3 - 2*x**2 - x - 4. Suppose -4 = -3*k + 5*v, v + 3*v - 19 = -5*k. Is j(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*m = -4*x + 81, -4*x - 2*m = -114. Put 2, -4, x, -5 in decreasing order.\nAnswer: x, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 679 is divided by 511.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -402 + 445. Calculate the lowest common multiple of l and 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 91650*z**4 + 2*z**3 + 10*z**2 + 3328*z + 5890?\nAnswer: 1099800*z**2 + 12*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10045135 + 10?\nAnswer: 10045145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3222 + -3225. Let b(x) = -7*x**2 + 2. Determine b(z).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(-1\/2))\/(l**0\/l))\/(l**1)**(-11\/8))\/(l\/l**(1\/3)*l**(-6))**(-7) assuming l is positive.\nAnswer: l**(-827\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*i**4 + 37557303*i**3 + 35111347*i**2 + 1 wrt i.\nAnswer: -192*i + 225343818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1220 - 1961 = -i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26851 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1140882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.369 - 0.069. Which is the fourth biggest value?  (a) 0.1  (b) -0.5  (c) -2  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5179.531ml to litres.\nAnswer: 5.179531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 1415?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 1 - 1 + 13052*v + 3 - 13044*v. Let j(n) = -9*n - 3. Give 6*j(k) + 5*z(k).\nAnswer: -14*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -4*m + 12. Suppose 6 - 3 = -3*f. Let w(v) = -v. Let p(o) = f*x(o) + 3*w(o). Let y be 11\/((-5)\/((-10)\/2)). What is p(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*p + 20*p + 221 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2651325 and 1350675.\nAnswer: 71585775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -202*l - 58. List the prime factors of z(-35).\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 236092628 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.9 to 1 decimal place.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r\/((r**(2\/15)\/r)\/r))))\/(r*r\/r**13))**1*(r**(2\/9))**12\/(r**(-4)\/r**(1\/7)) assuming r is positive.\nAnswer: r**(2171\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 22301040 (base 5) in base 14?\nAnswer: 51b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve -445*c - 20 = -445*c + 5*i, -3*i - 60 = 4*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-261)\/58 + 1 + (-6)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q. Let x(a) = -4*a + 4 - 4 + a. Determine k(x(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.015 * -20\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 539 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -7370908 at least as big as -7370908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/3)\/n)\/n*n*n**6*n**(-15)\/n*n*n**11 assuming n is positive.\nAnswer: n**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 7:24 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 153378 = -59717. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 116 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -104 + 200513?\nAnswer: 200405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 divided by -1?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 775278 and 18459.\nAnswer: 775278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/3792476651?\nAnswer: 2\/3792476651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1303 - -884. Let n = z - -18854\/45. Let j = n - -1313\/360. Find the common denominator of j and 8\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j + 5*j - 2*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10540?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of 11*t**4\/12 + 10*t**3\/3 - 6*t**2 + 160*t. Is s(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 8*t**2 + 7*t - 2. What is l(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -713 = t + 95. Let p = -427 - t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-754)\/7 - 6\/21. Let v be (1 - 2)\/(6\/d). Calculate the remainder when 20 is divided by (-42)\/(-4) + 9\/v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 2*s**2 + (s + 2*s - s)*(-2*s + 3*s - 3*s))*(-2*s + 5*s - 2*s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, -3, -2, 15, 54?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 4:57 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 70*d - 16. Let g(c) = 2. Let u(x) = 210*x - 45. Let m(j) = g(j) - u(j). Let a(q) = 2*m(q) + 7*s(q). Differentiate a(k) with respect to k.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*n**3 + 36*n**3 - 10*n**3)*(-3 + 2 + 0 + (1 + 1 - 3)*(1 + 2 + 0)).\nAnswer: -184*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41 + 23. Let g = s + 13. Let p = 177\/7 - 25. Which is the closest to p?  (a) g  (b) -2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1308 and 2134668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(-4*p - 2*p + 30 - 26)*(3*p**2 + 3*p**2 + 5*p**2).\nAnswer: -132*p**3 + 88*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 47 + -24. Suppose -a = 4*i + 17. Is 18 a factor of (8\/i)\/((-3)\/75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 5181491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*a + 26*a - 2162 = -3*b, -4*a - 14232 = -20*b. Suppose 2*h - 48 = -5*j, 0 = -3*j - 0*h - 2*h + 28. Calculate the greatest common divisor of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r**3 + 16*r - 16*r)*(9 - 9 - 4*r) - 5*r**4 + 3*r**4 + 3*r**4 in the form u + s*r**2 + y*r**4 + g*r + h*r**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 13*n**2 - n - 49. Let u(g) = 7*g**2 - 25. What is 3*h(w) - 5*u(w)?\nAnswer: 4*w**2 - 3*w - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -9*d - 13. Let o = -161 - -148. Let x(a) = -4*a - 6. Calculate o*x(j) + 6*c(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2*(sqrt(108) + sqrt(108)*2)*-6*-4)**2 + 1.\nAnswer: 6718465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 0 - (-8 + -22 - -21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-10) + (-6)\/30. Let n = r - 1. Which is the second smallest value?  (a) -0.7  (b) -1\/2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.7383984 - 12.738. What is n rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 5*g + 115. Let q be u(-22). Solve -10 = 5*k + 4*r, -21 = -4*k + 6*k + q*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -136, -163, -192, -223, -256?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**3\/5 + 13272*m**2\/5 + 53109*m\/5 - 13276 = 0. What is m?\nAnswer: -5, 1, 13276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x - 4. Let j be h(3). Is j bigger than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160746496.\nAnswer: 2, 156979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*z + 21*z + 177*z - 61*z.\nAnswer: 271*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1606*r = -6320 - 437 - 9303 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 35019267*i. Let u(v) = -8*v**2. Give u(g(j)).\nAnswer: -9810792489738312*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-2 - -18 - (80 + -51))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w + 1. Let l be s(-3). Let t = l - 0. Let x(n) = -t*n - 6*n + 13*n - n**2. Let i(m) = -16*m. Give i(x(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 142421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*s + 20. Let w(j) = -6*j + 11. Is 7 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -181180800 divided by 216.\nAnswer: -838800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-11)\/((-11)\/(-58))*(0 - 1). Calculate the highest common factor of 522 and d.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrwlrrljj. Give prob of sequence rw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 1:28 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -9, 5*g = a + 21 + 36. Let r(q) = -2*q + 62. What is the remainder when r(0) is divided by 261\/g + 3\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 + 16. Suppose 0*q + 31 = q + 2*c, -116 = -5*q + 3*c. Let i = q + -6. Calculate the remainder when i is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.6 + 0.4. Let b = a - 3.8. Let k = -5.5 - b. What is the biggest value in -4, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 222 + -349. Let h = o + 253. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131265037 is divided by 788?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20094009 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + sqrt(7))*-5)**2 + 1)*-1 + ((2*sqrt(140))\/sqrt(4))\/(-6*(sqrt(20) + sqrt(5)) - sqrt(5)).\nAnswer: -201 + 948*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q - 3. Let n be (-1 - -6)*(-56)\/35. Let t be k(n). Suppose 0 = -t*g + 3*g. Solve g = -2*a - a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 1 - 5. Let q = -8 + 11. What is the units digit of 53 - q*w\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -3*h - 75. Let q = -13 - h. Let k(r) = 3*r - 20. What is the lowest common multiple of q and k(14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d\/d**(-3\/7)))\/d)**(-40)\/(d**(-2\/5)*d\/(d*d\/(d\/(d*d**(-11))))))**11 assuming d is positive.\nAnswer: d**(18304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9135\/84)\/(-5) + 22. Factor 1\/2*y + h*y**2 + 0 - 1\/4*y**3.\nAnswer: -y*(y - 2)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**2 + 14*n + 2. Determine y(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 341 - 5795\/17. Let g be (-5)\/(-6) + (-11)\/22. Let l = 0.3 + -0.4. What is the nearest to l in z, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(72) + sqrt(72) + -2*sqrt(72) + sqrt(72) - (sqrt(72)*-2 + -3)) + 4 + 5 + -3 + -1*sqrt(72)*-1)**2.\nAnswer: 240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0154 + -1.0154. Sort -3, -5, k, 0.4.\nAnswer: -5, -3, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 3761*o**3 - 9*o**2 - 12*o + 12. Let i be m(10). Suppose t + 4 = 0, -z - 2*t = 3*z - i. What is z rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.096467 and 245.\nAnswer: 23.634415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.0006 * 187\nAnswer: -0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 + 16290*y**2.\nAnswer: 3*y**2*(y + 5430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 2:13 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-17)\/(-5) + 6\/(-15). Suppose x*y + 2*y = 185. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22523 = -2*o + 3537. Suppose -2*n = -n + o. Let l = -5630 - n. Round l to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2376*v. Let h(i) = 7*i - 87. Let t(r) = 2*r - 29. Let a(l) = 2*h(l) - 6*t(l). Determine a(q(c)).\nAnswer: -4752*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/33174 and -167\/90.\nAnswer: 165870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-four fifths of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/38 and 101\/2571308?\nAnswer: 2571308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 342 and 510318?\nAnswer: 9696042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -30*f - 1. Let d(x) be the third derivative of 23*x**4\/24 + 37*x**2 - 5*x. Determine h(d(g)).\nAnswer: -690*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 12*j**2. Let m(x) = -3*x**2 + 352786. Calculate m(y(q)).\nAnswer: -432*q**4 + 352786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*t**2 + 74*t**2 + 13*t**2 + 4*t**2 + 55*t**2 as c + a*t + k*t**2 and give k.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12497, 24968, 37437, 49904, 62369?\n\"Answer: -d**2 + 12474*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6673\/4 or 1668?\nAnswer: 6673\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*a + 674 - 121. Calculate the remainder when a is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = 3*c - 10, 131*y - 14 = 134*y + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -9387 and 1786740.\nAnswer: 1777353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -t**6\/2 - 3*t**5\/5 + 3*t**4\/2 + 2*t**3 - 3*t**2\/2 - 3*t - 7. Let c(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 983 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 54, 13, -8, 3, 58?\n\"Answer: 2*v**3 - 2*v**2 - 49*v + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100, -183, -252, -301, -324, -315, -268, -177?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 84, -26, -2, 312, -5 in descending order.\nAnswer: 312, 84, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -77\/74 + 14449\/7770. Let a = 8\/15 - w. Let x(d) = -146*d - 5. Let u be x(0). What is the closest to a in u, 2\/7, 4\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**2 + 12*u**5 - 8*u**5 + 3*u**3 + 0*u**3 + (-1 + 6 - 4)*(2*u**5 - 3*u**5 + 3*u**5) - 4*u**5 + u**5 + 2*u**5.\nAnswer: 5*u**5 + 3*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 58 - 52. Suppose t = -2*d + 28. Suppose 786 = d*v - 5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 803, 808, 821, 842?\n\"Answer: 4*k**2 - 7*k + 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 78 = -0*h + 4*h, 3*c + 98 = 5*h. Suppose u - 79 + 23 = 0. Calculate the remainder when u is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -4*f. Suppose f*o - 36 = -4*o. Let i(j) = 7*j + 5. Is 26 a factor of i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**4 - 15*x**3 - 306*x**2 - 960*x - 672.\nAnswer: 3*(x - 14)*(x + 1)*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 225.608 less than 3?\nAnswer: -222.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 2)*1*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 84181.8714 to 0 decimal places.\nAnswer: 84182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**2 + 1876*m**3 - 2*m**2 - 1450*m**3 + m**2.\nAnswer: 426*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*o + 5*o - 7*o**3 + 82848 - 82852 - 4*o**4 in the form m*o**4 + x*o**3 + z + y*o**2 + t*o and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/6806 and -81\/113242?\nAnswer: 9399086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 7. Let g be v + 0 + 3\/(-3). Solve -3*x + 17 = g*b - 6*b, 3*b - 4*x + 11 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24353, -97183, -218575, -388535, -607069, -874183?\nAnswer: -1189883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -598416, -598433, -598476, -598557, -598688, -598881?\n\"Answer: -2*p**3 - p**2 - 598413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 + 0.7. Let c = 4 - 3.9. What is the closest to c in o, -2, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23209 - -0.3.\nAnswer: -23208.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2 + (5*sqrt(120)\/sqrt(3))\/sqrt(8) + (((sqrt(10) - sqrt(90) - sqrt(10))\/sqrt(2) - sqrt(5)) + (sqrt(5) + -1)*1)**2.\nAnswer: 11*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 7:35 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -43, -104, 359?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29 + -20. Let i be (-2)\/(-3) + (-51)\/o. Let c = 23 + i. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -517*g - 21 = 5*q - 519*g, -4*g - 13 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d - 255 = -255 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 670771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 5*b**2 - 5*b + 4. Let j be -1*(-1 - 3) + 0. Let p be q(j). Let r be 3 - (3 - (4 + -2)). Solve p*m + r*m + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6235865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -5*y - 26, -4*p = -412*y + 415*y + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -37128267.6157 and 1.22.\nAnswer: -37128266.3957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3015 (base 7) in base 14?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12449\/6 - -2084. Is k at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0129526 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(19))**2 - sqrt(19))*2*3.\nAnswer: -6*sqrt(19) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (-10 - -13 - (-4 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5 - -6)\/((-3)\/9). What are the prime factors of 59\/(3*n\/(-9))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 70*w**3. Let m = 8 + -7. Let z be c(m). Let n = z + -46. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98039, -98057, -98063, -98051, -98015?\nAnswer: -97949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00011617622 to 7 decimal places.\nAnswer: -0.0001162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 6023 = 5*v - 6007, -2*v + 42 = -23*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-8)\/(-44)*162\/810?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 6*o - 6. Let w(n) = 8*n**2 + 40*n - 40. Let u(f) = -40*g(f) + 6*w(f). Let v(d) = -9*d**2. Give u(v(a)).\nAnswer: 648*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1559755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 167*b + 3381. Calculate g(185).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/10 + 289*l\/10 + 144\/5.\nAnswer: (l + 1)*(l + 288)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*u**3 + 2 - 2*u**3 - 6*u**3 - 2*u**3 as h*u**2 + d + c*u**3 + l*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from upuuuppoubpobuju. Give prob of sequence bup.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, b: 1, q: 1, n: 2}. What is prob of sequence nqs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x. What is m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4111120 (base 5) to base 15.\nAnswer: 14a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5598 - 12191 = -261*s - 5783 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -9241598580 minus -6.45?\nAnswer: -9241598573.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -6*l + l - 19135, -2*l = 2*x - 7658. Let c be (-8)\/(3 + x\/(-1275)). Suppose 4*s - c = 2*s. Round s to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -34 - ((-13)\/39)\/((-1)\/(-3)). Let y be (-176)\/h + 4\/6. Suppose 3*c = -5*r, 3*r = 5*c - r. Solve i + y = -2*z, c*z + 5*z + 9 = -i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2192980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2004\/3017 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 11:16 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 2 + 2)*(-5186*g + 5186*g - 186*g**2).\nAnswer: -186*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 41563597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -0.023, -1, -3\/14, 4 in ascending order.\nAnswer: -1, -3\/14, -0.023, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-63)\/(-14) - 1\/(-2). Suppose 15*i - 15754 = -15724. Solve -i*r = -l*o - 12, -7*r + 6*r - o - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 1\/5  (b) 1  (c) 0  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 2 + 8. Let n(v) be the first derivative of -v**3\/3 + 5*v**2 + 10*v + 1. List the prime factors of n(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, a: 6}. Give prob of picking 2 a.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 159 (base 12) to base 15\nAnswer: e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - r = -27270, -4*r = -4*k + 4151 + 23149. What are the prime factors of k?\nAnswer: 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1173*s + 1070*s - 361*s + 486*s - 359*s.\nAnswer: 2009*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 925*b**2 - 920*b - 5 = 0.\nAnswer: -1\/185, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 156 - 83. Let w = f - 69. Suppose 3*g - w*m - 1877 = 0, 0 = -g - 2*m - 3*m + 613. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 22. Let m = -19 - n. Which is the third biggest value?  (a) m  (b) 1  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -135169 (base 15) to base 13.\nAnswer: -2667a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13506321733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/((t\/(t**1*t))\/t*t))\/t*(t**(-2\/5)*t*t)\/t)**32 assuming t is positive.\nAnswer: t**(256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -208*g**3 - 11*g**2 - 11*g - 75. Let m(z) = -52*z**3 - 3*z**2 - 3*z - 19. Let l(w) = -22*m(w) + 6*t(w). Differentiate l(b) with respect to b.\nAnswer: -312*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeuewuhnhwhhuwwe. Give prob of picking 1 n and 1 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 139, 3, -2, -4, 454, 3\/8?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4584 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8772 by 102.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 27539549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 14 - 8)*(4*g**5 - g**5 - 4*g**5).\nAnswer: -21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*n = 1, -5*w - 2*n = -w - 2. Suppose -4*m + 8 = -r, 5*m - 9 = -4*r + w. Solve 5*c = -r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4\/a)\/a*a\/((((a**(-2)*a)\/a)\/a)\/a)*a**4\/(a*a**1) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -111 + 206. Let x = l + -95.142. What is x rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8a + 3?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -4*z - 4*n, -2*z + 10 = -5*n + 55. Let d = 19 + z. Suppose -5*s - 23 = -5*i + 2*i, d*s = -16. Which is bigger: i or -2\/71?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208)*-2 + 1)*1.\nAnswer: -8*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, j: 1, p: 5, q: 2, e: 4}. Give prob of picking 1 j and 2 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/11310180 and -143\/14700.\nAnswer: 56550900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -425590*f - 10639746. What is p(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 373 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 - 14. What is the nearest to f in 3, 1\/4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 8*a**2 - 1. Let b be v(8). Suppose 3*t = -4*k - 5, -3*k + 3 = -2*t - 6. Calculate the common denominator of (-31)\/2 - (k + b) and -1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 206183039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 108126486*b**3 + 86929179 wrt b.\nAnswer: 324379458*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -3) + (-18 - -22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -10855*l. Let c(y) = -29*y. Calculate c(u(v)).\nAnswer: 314795*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -43.81*-21\nAnswer: 920.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (319*v - 321*v - 36 - 792)*(4 - 2*v - 4) as h*v + x*v**2 + w and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31358606, -62717211, -94075816?\nAnswer: -125434421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*i + i**3 - 6*i - 2 + 3 + i**3 as y*i + f + l*i**3 + h*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by 280.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b**(-3\/14)))\/b)\/(b**(21\/4)*b*b*b))**(1\/34) assuming b is positive.\nAnswer: b**(-253\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -371*g**2 - 525 + 1563 - 513 - 517 in the form l + d*g + q*g**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 2. Let c = 9 + -6. Suppose -c*v + 5*r - 9 = 0, v + 10 = r + u*r. Let g(t) = t**3 - 3*t**2 + 2*t. Determine g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - t - 316504 = -5*z, 4*t = -3*z + 189916. Suppose 2*i + i = z. What is i rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 7, -1\/2, -2.2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1100))**2 + 4)*-1.\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3512766612.\nAnswer: 2, 3, 31, 9442921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/36)\/(-4)*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1552\/403 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**5*m + 3*l**5 + 6*l**3 + l**2*m + 305*l*m wrt l.\nAnswer: -120*l**2*m + 180*l**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g + 7. Let k be x(-4). Which is the third biggest value?  (a) 0  (b) k  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of -57*p**6\/10 + 18*p**4 - 306*p. Find the third derivative of j(o) wrt o.\nAnswer: -4104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -5. Suppose -107*u + 85*u = 242. Let d = -227 - -230. Sort u, d, s.\nAnswer: u, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 43307  (b) 23  (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + 25\/10 - 20\/8. Determine o, given that 3*o + 1 + 1\/4*o**4 + 13\/4*o**2 + 3\/2*o**z = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 5:40 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j + 1. Let t(m) = -21*m + 42. Let q(u) = 6*u - 12. Let k(g) = 18*q(g) + 5*t(g). What is k(d) + s(d)?\nAnswer: 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzes when four letters picked without replacement from {z: 4, e: 1, h: 2, s: 10}.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2179214, 4358428, 6537642, 8716856?\n\"Answer: 2179214*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7030.55kg in tonnes?\nAnswer: 7.03055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/40 and -1\/11545?\nAnswer: 92360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/6  (b) -196  (c) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-474)\/(-8))\/(6\/8). Suppose 3*c = z + i + 36, -z = -4*c + 118. Let f = 226 + z. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) -2.8  (b) 5  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5 + sqrt(208) + sqrt(208)*-2*-1 + 3).\nAnswer: -60*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/14, 4, 8, -5, 1 in descending order.\nAnswer: 8, 4, 1, 1\/14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -70296?  (a) 3  (b) 0.5  (c) 1\/4  (d) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*b + 15, -2*b - 3*b + 3 = -t. Suppose -4*g - 5*d + 42 = -12, 4*g - 5*d - 34 = b. Solve -i + 4*n - n = g, -5*n = 4*i - 41 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 2*c - 1. Let f be i(-1). Suppose -11 = -f*h + 3. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 6. Let g be l(0). Suppose -3 = 3*f - g. Let w = f + -2. Is w smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*v + 16. Calculate the least common multiple of v and 40\/15*(-6)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2\/3))**49*(s**(1\/3)*s)**(-1\/82))**(-6) assuming s is positive.\nAnswer: s**(8040\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 686, 695, 716, 755, 818?\n\"Answer: u**3 + 2*u + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -258 + 135. Let g = h + 114. Let i be (-11)\/g + 1 + -2. What is the closest to 1 in i, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3 - 8. What is the derivative of -28 - l + 43*y**2 - 6 - 1 wrt y?\nAnswer: 86*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from askeexakerkaesa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 18 = q, 0 = -4*w - 3*q + 13 + 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + 4*j - 5. Determine y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205 = 2*p - v + 2*v, 0 = p - v - 95. Suppose 0 = 42*u - 40*u - p. Calculate the highest common divisor of u and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of j**4\/6 + 4*j. Let k(r) = -6*r - 5. Let o(t) = -11*t - 11. Let v(u) = -11*k(u) + 5*o(u). What is f(v(s))?\nAnswer: 242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + 9*q**2 + 7*q + 12. Let t(n) = -n**3 + 5*n**2 + 3*n + 6. What is 3*d(y) - 5*t(y)?\nAnswer: 2*y**3 + 2*y**2 + 6*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2497367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 317, 1988, 4769, 8654, 13637, 19712?\n\"Answer: -m**3 + 561*m**2 - 5*m - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11069628 divided by -58881?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*f - 14 - 34. Let q = -7 - f. Let n be 2 - (12\/(-3) - q). What is the fourth biggest value in 1\/3, -0.4, n, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 9:37 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -9*n**2 + 4*n**2 - n**2 + 3*n**2. Let g(m) = -19*m. Determine g(r(y)).\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 1011110011?\nAnswer: 1011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -22, -18 in increasing order.\nAnswer: -22, -18, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2, -3, 64?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 3 + -5 + -3 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from crcrq. Give prob of picking 1 q and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -2, -7 in decreasing order.\nAnswer: 0, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -3*y + 5*v, 4*v = -y - 0*y. Find the common denominator of -5\/28 and y + (-177)\/(-66) - -3.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2\/q*q)**(-16\/7)\/(q**3)**(-4\/5) assuming q is positive.\nAnswer: q**(-76\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + i + 2, -l - 3*i - 4 = -0. Let y = 0 + l. Let q be ((-10)\/(-3))\/((-8)\/12). Put q, y, -4 in descending order.\nAnswer: y, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 16, 19, 34, 67, 124, 211?\n\"Answer: w**3 - 4*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -20, -2\/15, 0.1, -1016?\nAnswer: -1016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3, -13, -53, -129, -253, -437, -693?\n\"Answer: -2*r**3 - 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 391985*t**3 - 68163*t.\nAnswer: 2351910*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 10) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-4 - (1 - (5 - 9))) + -35 + 38.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3*-10 - (-172 + 187)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*(-18 + (0 - -4)). Let m(y) = p*y - 6*y - 6*y. Let k(w) = 2*w**2. Give k(m(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = j - 24. Suppose -3*m + 143 = -2*d, -j*m - 106 = -19*m + 4*d. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.974 + -0.026. Let w = 299 + -2095\/7. Which is the closest to w?  (a) l  (b) -4  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9623*n**2 - 1 + 1 + 9625*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.09 - 0.31. Let c = 0.5 + 0. Put -4, c, v in decreasing order.\nAnswer: c, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 4:45 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 71127575 divided by 5?\nAnswer: 14225515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15114864113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2191)\/(-2191)*(-93)\/((-1)\/(-1))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 470 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.5 + 2. Let f = -28\/33 - -2\/3. Let c(g) = g + 5. Let h be c(-5). What is the second smallest value in r, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 2 = 4*i, -2*s + 5 - 1 = 0. Solve 3*d - 3 = -2*g, 5*g - 11 = 2*d + i*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14132*k - 1094*k - 1919*k.\nAnswer: 11119*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -46\/91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(99) + 5*(sqrt(99) + -1) + -5 + 0)**2.\nAnswer: -360*sqrt(11) + 3665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that r**4\/2 - 7*r**3 + 9*r**2\/2 + 28*r - 26 = 0.\nAnswer: -2, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4114605, -8229209, -12343813, -16458417, -20573021?\nAnswer: -24687625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xllncllbblcl. What is prob of sequence cb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 60*r - 1. Suppose 0 = 5*f - 0 - 5. Let l be p(f). Suppose g - z - l = 0, 4*z + 85 = 5*g - 205. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.185 - 0.18499991. Round x to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g + 2*g + g + (-51*g + 62 + 28*g + 25*g)*(4 + 0 - 2) in the form b*g + z and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192) + -3 + 0 + sqrt(30)\/(2*sqrt(40)).\nAnswer: -3 + 33*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 83 - 80. Factor 7*l - 13*l - 4*l**t + l**3 + 9*l**2.\nAnswer: -3*l*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -839?\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-2 + 3 + -3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1550*b*x**2*y + 2*b*x**2 - x**2*y + 87*x**2 - 3 wrt b?\nAnswer: -1550*x**2*y + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 + 62*j - 116. Let q be z(29). Determine s so that -1\/6*s**5 + 1\/6*s**4 + 0*s**2 + q*s**3 + 0 + 0*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 14*r - 353. Calculate j(60).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 912800217 to the power of 1\/2, to the nearest integer?\nAnswer: 30213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7\/43, -7, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - -4. Let g(n) = n**3 - 12*n**2 + 14*n - 10. What is the units digit of g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -24  (b) 1  (c) -1\/5  (d) -1\/112  (e) -0.8  (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 - 13*r + 27. Let c be j(11). Suppose c*g + 23 - 108 = 0. What is the remainder when 30 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 398 and 2754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q**2 + 43. Let v(k) = k**2 + 1. Suppose -2*d + 13 = -2*g + 5, -5*g = -3*d + 18. Let w(x) = d*o(x) - 5*v(x). List the prime factors of w(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + -31233534?\nAnswer: -31233541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7558, -7552, -7536, -7504, -7450?\n\"Answer: o**3 - o**2 + 2*o - 7560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of z**2 - 417. Let q(d) be the first derivative of d**2\/2 - 23*d + 4. What is g(q(y))?\nAnswer: 2*y - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 256558411.\nAnswer: 256558411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 213870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -868.8704178 from -519.\nAnswer: 349.8704178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -3*z - 19, -2*z - 153 = 3*m - 132 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)*1 + sqrt(117))*2*3.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5848 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 a, and 2 z when four letters picked without replacement from {a: 12, j: 1, z: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196*o**4\/5 - 291284*o**3\/5 + 108947728*o**2\/5 - 538638336*o\/5 + 429981696\/5 = 0. Calculate o.\nAnswer: 1, 4, 5184\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 8. Let j = 75 + -77. What is the second biggest value in -0.2, z, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 80\/9  (b) -0.5  (c) -3\/3215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/10  (b) -4  (c) 0.3  (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.1586886 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, w: 5, r: 1}. Give prob of sequence www.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1028080347931493.0000007 + -1028080462696171. Let a = 114764671 + s. Let q = a - -7. What is q rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 36*((-2)\/10 - (-12717)\/135). Is (-6)\/15 + (v\/20)\/3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10443221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47 + -39. Suppose 0 = -2*u + 14 - w. What is the highest common divisor of u and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, j: 3, k: 7, r: 4}. What is prob of picking 3 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of -w**5\/20 + w**4\/2 - w**3\/6 + w**2 - 2*w. Calculate the lowest common multiple of b(5) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -10*v - 1. Let g(b) = 6567*b + 597. Determine -g(u) - 597*s(u).\nAnswer: -597*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -50111024 divided by -4?\nAnswer: 12527756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -131025 (base 6) to base 7\nAnswer: -46454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 + 193*v**2 + 1543*v + 4119. What is u(-88)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m - 6. Let r be a(-4). Solve 2*s - r = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -9*p + 1008. Let g be 57\/p + (-8)\/28. What is the second smallest value in 3\/7, 1\/3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(637) + sqrt(637)*5 - 3*sqrt(13)*5*-2.\nAnswer: 4 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 0 + 4)*(1 + 1 + 0) + (21 + 24 - 47)*(0 + 0 + 3))*(38*j - 38*j - 10*j**2) to the form w*j + d + o*j**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.2, -0.4, 0.03, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {i: 3, j: 2, n: 4, k: 8}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -111, -235, -359, -483?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -423033*k**2 - 349436*k**2 - 342871*k**2.\nAnswer: -1115340*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of 0 + 1\/12*w**4 + 5\/2*w**2 + 3\/2*w**3 + 17*w. Determine j(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/6)\/((-24)\/144)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/2 - -1)\/1. Suppose l*n + 0 = 12. Solve 2*k + w = -n*w - 8, 3*w = -5*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**3 - 3*n**2 - n - 2. Calculate q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, -0.05, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.23 * 37.78422.\nAnswer: -8.6903706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1718670 divided by 971.\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(204) - sqrt(204) - sqrt(204))\/sqrt(12) + (sqrt(68)*2)\/sqrt(4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1231 or 1376?\nAnswer: 1376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 17\/4  (b) 22  (c) -0.4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -8*p + 3*p. Let l = p + 1. Suppose -j - l*w = -w + 9, -2*j + w = 11. Let f(q) = q**3 + 6*q**2 - q - 7. Determine f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.9, -3, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w - 99 + 165 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 26 = 4*z. Find the common denominator of (5 + -3)\/(z\/(-118)) and 73\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2124 (base 11) in base 7?\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -18 in -0.5, 2\/689, -320\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -3\/2*x**2 + 1\/2*x**3 - 5*x + 1\/12*x**4 + 0. Suppose -g + 8 = -2*v - 6*g, 0 = v - 3*g + 4. Give j(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**2 - 18 - 6 - 39*n**2 - 2*n**2. Let o(a) = 8*a**2 + 5. Let s(r) = 5*l(r) + 24*o(r). Let j(g) = -4*g**2 + 3*g**2 + 0*g**2. Give j(s(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3 - 101088*c**2.\nAnswer: 2*c**2*(c - 50544)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 221 (base 3) to base 8\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/4  (b) -2\/11  (c) 1\/9  (d) -134\/141  (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 1:22 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 74  (b) 2543  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1313*w**4 + 9*w**3 - 3369*w**2 + 82?\nAnswer: -31512*w + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 516 and 1161?\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2*(sqrt(2736) + 2))**2 - (sqrt(304)*-1 + -5)*-1.\nAnswer: -32885 - 580*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 20\/48*64\/((-240)\/15)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 + 23. Let t = 187 + -185. Solve -20 = -5*p, h*d + 0 = -p + t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/86 or -5014\/51?\nAnswer: -5014\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 9:48 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {n: 1, q: 2, u: 1, l: 1, g: 1, b: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 11:46 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 + 39 + -3 + 0 + 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2556)\/426*(-10)\/(-12). Put 3, -7\/5, t, -2\/9, 1\/8 in ascending order.\nAnswer: t, -7\/5, -2\/9, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 297.73 + 6.27. Let k = 537.91 + -843.24. Let v = t + k. What is v rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q = -4*i - 16, -7 = -q + 2*i. Let x be 2 + -5906 - -4*q. What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 369 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -c5b4b1 (base 13) to base 10\nAnswer: -4623308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 21*s**2 + 65*s + 89. Give k(17).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 135441.09 nanoseconds to minutes.\nAnswer: 0.0000022573515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 8587700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (18\/2)\/(10\/((-100)\/(-15))). Let r = -1 + 3. Let t = r - 2. Solve -2*q + p = -t*q + y, -3*q - 11 = -2*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-21)\/56*(-4)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 6. Suppose -a*r - 33 = -3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 5*j - 39, -3*u - 3*j - 1 = -10. Let k = u - 34. What is the units digit of 6\/(-9)*(1 + k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + b = 2*b - 3, -b - 6 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + j - j)*(-j - 2*j + 4*j)*(-4 + 2 + 3)*(0*j**2 + 6*j**2 - 4*j**2).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -9*g**2. Let f(o) = -1287*o**2. Give v(f(d)).\nAnswer: -14907321*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4087.52 - 405971.4.\nAnswer: -401883.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 - 6*v**2 + 10*v - 2. Let j be p(-7). Let m = j + 31. Calculate the common denominator of (-2)\/m + (-692)\/(-112) and -71\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 3*p**2 + 4 - 222*p**3 - 6 + 223*p**3 + 6*p. Give y(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-132)\/264)\/(9*(-10)\/6*1)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4 + 0 + sqrt(242)*1 + 3) + -1.\nAnswer: -22*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-15190)*62)\/((-1)\/77)\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13271127 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*m - 26 - 164 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i + 3*i - 538 + 0*i - 538 - 544 + 1628. Suppose -q + 0 = -4. Suppose 3*m - 7 = q*m. What is k(m)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.185 and -549886.\nAnswer: 101728.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 1 = 6*m, -5*i - 3*m = -8 + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 235 = -4*k, o + 75 = -k + 3*o. Let f = 131 + k. Let a(s) = 0 + 0 + f*s**2 - 74*s**2. Let c(y) = 4*y. What is a(c(i))?\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 274901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 444.6817 millilitres to litres.\nAnswer: 0.4446817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*2*(-2)\/3. Suppose -3*p + 29 = -d. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rhhrhrhrrrrrrh. Give prob of sequence hrh.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 552 and 108422?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 315*d - 4284*d**2 - 85*d - 3*d**3 - 230*d.\nAnswer: -3*d**2*(d + 1428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(-14)*g\/g**(-11)*g\/(g*g**(-3\/11)*g*g)*g**4 assuming g is positive.\nAnswer: g**(322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -140 + 2*x + 865*x**2 + 866*x**2 - 1733*x**2 + (0*x + x - 2*x)*(-x + 12*x + 0*x).\nAnswer: -13*x**2 + 2*x - 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/sqrt(50) - sqrt(5))**2 - (-2 + sqrt(405)).\nAnswer: -9*sqrt(5) + 26\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202120201 (base 3) to base 7.\nAnswer: 61513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*s + 5*s**3 + 15*s**2 + 9*s - 9*s**2.\nAnswer: 5*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**3 - 186*m**2 + 181*m + 285. Let a be d(92). Let c(o) = o**2 - 4*o + 4. Let h be c(6). Solve h = -5*l - a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -573, -4475, -15175, -36153, -70889, -122863?\nAnswer: -195555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + z + 169 = 0. Let v be (-4)\/(-26) - 819\/z. Suppose v*x = 4*x + 3. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 158755, 635153, 1429195, 2540887, 3970235, 5717245?\n\"Answer: l**3 + 158816*l**2 - 57*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 12 in decreasing order.\nAnswer: 12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kvm when three letters picked without replacement from hvmmdddkakk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of d**4\/12 - 7*d**2\/2 - 2*d. Suppose -12*l = -l - 759. Calculate the remainder when l is divided by a(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 4131\nAnswer: -16524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v + 7. Let b(w) = -w + 20. Let a be b(21). Let g(i) = 1. Let s(c) = a*f(c) + 6*g(c). Let u(n) = n + 1. Let z = -6 + 0. What is z*s(o) - 7*u(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2 + sqrt(245)*2 + -4 + sqrt(245)*2*-1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/102 and -85\/54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -33574 (base 8) in base 16?\nAnswer: -377c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 31929 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1061 (base 8) in base 12?\nAnswer: -3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4*a - 3*r - 24, 4*a + 12 = -4*r. Let o(l) = l**2 + 6*l - 7. Let n be o(a). Suppose n = -q - q + 60. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -65098573, -130197147, -195295721, -260394295, -325492869?\n\"Answer: -65098574*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -0.03. Let c = -0.04 - -0.01. Let n = c + 0.13. Put s, 0.2, n in descending order.\nAnswer: 0.2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1626?  (a) 0.2  (b) 1\/8  (c) 3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -47*l + 816. Let d(v) = 94*v - 1496. Let p(g) = 11*b(g) + 6*d(g). Let s(i) be the first derivative of i**2\/2 - 1. Give s(p(o)).\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 0 + 6 + 0 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - -2. Suppose -r*d + 2*x + 13 = -3, 0 = 4*d + 4*x - 4. Solve -d*g = -13 - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*k + 4*w = -105, 5*w + 212 + 11 - 25 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 524 - 494 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2080 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-86799000)\/((-8)\/(32\/(-6))). What is n rounded to the nearest 100000?\nAnswer: -57900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 + 6*d**2 - 10*d - 11. Let k be c(-6). Let h = k - 105. Let n = h + 60. Sort -5, n, 5, 0 in decreasing order.\nAnswer: 5, n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2127 = 4*q, 3*p - p = 4*q + 846. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(-3)\/36 - 5780\/34635. Let l = -50837\/180102 - o. Is -1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + 19. Suppose 3*p = 10 - t. Let i(k) = 10*k**2 - 2*k. Let b be i(p). What is the highest common divisor of b and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17785813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 3*o + 1535. Let x be s(0). Let m = -886 + x. Is m a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v - 2 + 2 + 4*v - 2*v - 3*v + (-2*v + 5*v - 2*v)*(-1 - 1 + 3) + 3*v - 4*v + 2*v - 4*v + 3*v + 3*v - 12 + 9*v + 13 - 12*v.\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + 0 + sqrt(2057) + sqrt(2057)*-1 + 3)*-2 + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 7*u + 95. Let l be g(-6). What is the second derivative of -176*f + 194*f**5 - 213*f**5 + l*f wrt f?\nAnswer: -380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 76\/168 - (-9)\/(-54)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -292*o + 15. Let w(i) = -22*i + 2. What is l(r) - 4*w(r)?\nAnswer: -204*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3029.119 * 0.5.\nAnswer: -1514.5595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 5*d**3 - 39*d**2 - 24*d + 9. Let q(i) = -2*i**3 + 13*i**2 + 8*i - 3. Let y(v) = -3*m(v) - 8*q(v). List the prime factors of y(-6).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*s + 120 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2620, -2604, -2584, -2566, -2556?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 0*i**2 + 1\/28*i**4 + 6*i + 0*i**3 + 0. Find g, given that f(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 8:40 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 13, 0 in descending order.\nAnswer: 13, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*n**2*p**2 + 3479*n**2 + 35996*n*p**2 + 260*p wrt p?\nAnswer: -34*n**2 + 71992*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**3 - o**2 - 3*o + 153. Let f be k(0). Let b be (f - 155)\/((-2)\/(1 - -1)). Solve -2*x = 5*r + 6, b*x = -0*x - 2*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -14*t**3 - 7*t**2 - t - 6. Let s(h) = -13*h**3 - 6*h**2 - h - 5. Suppose 0*w - 22 = -2*w - 8. Determine w*s(g) - 6*o(g).\nAnswer: -7*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) 30  (c) -2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1408 less than or equal to -1409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 2 - (0 + -8 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 14355.164 to the nearest one hundred.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/50*350\/210)\/(3*5\/(-30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15\/(-9)*(-792)\/40. Let w = 54 - 51. What is the greatest common divisor of w and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -132, 36.\nAnswer: -132, -3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0090499 to four dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(13) + -1 + -4 - (sqrt(208)*-1 + -1).\nAnswer: -4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -4*x + 114 + 14, 0 = -4*x - 4*p + 124. Which is bigger: 12 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/4)\/k)\/(k*k*k*k**3*k))\/(k\/(k*k*k**26\/k)*k*k*k\/k**(12\/13)*k) assuming k is positive.\nAnswer: k**(763\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 65?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 5*l - 0*l - 19, -2*u + 2*l - 18 = 0. Let f = -54457\/4242 - -3\/707. Are u and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 + -39. Let m(x) = 6*x - 10. What is the remainder when s is divided by m(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63880 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4254*h - 4183*h - 4191*h - 4183*h + 16821*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 less than -41601?\nAnswer: -41601.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -3760*b**2 + 3317*b**2 - 8375*b**2 - 6672*b**2 - 990*b**2 in the form p*b**2 + q + s*b and give p.\nAnswer: -16480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10900*m + 10914*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*n + 7 = -307*n, -3*n + 3 = o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*z + 37*z - 229460 = -23*z. Is 55 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*f**3*l**2 + 2*f**3 + 10*f**2*l**2*p**2 - 7*f**2*l*p**2 + f*l*p + 5*f*p**2 + l**3 wrt l?\nAnswer: 10*f**3 + 20*f**2*p**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43314141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(420\/3)*104\/39)\/((-9)\/336)?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 - (-72)\/(-16))\/(2\/(-172)). Let z(x) = -25*x - 21*x + f*x. Give z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5. Let w(n) = -6. Let c(r) = 7*o(r) - 6*w(r). Suppose 0 + 15 = 5*s. Let a(b) = 0*b - 2*b + s + 1 - 1. Calculate a(d) - 3*c(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53035 + -3500485\/66. Let v be 1\/(-9)*(-51)\/2. Let g = m + v. What is the closest to -2\/3 in g, 2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 293 and 0.2577343.\nAnswer: 293.2577343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 + 47 - 17 + 2*l**3 - 4*l**3.\nAnswer: -2*l**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -5*m**5 + 7977*m**4 + 1342781*m**3 + 790023*m**2 - 2140776*m = 0.\nAnswer: -153, -8\/5, 0, 1, 1749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -8688 divided by -4?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - x + 12 = l, -4*x = -5*l + 33. What is the remainder when 15 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2*g**2 + 0)*(g - g + 2*g**2) + 2*g**2 - 2*g**4 - 2*g**2)*(-32 - 62 - 14).\nAnswer: -216*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 4  (c) -2\/3  (d) 0.4  (e) -220  (f) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 273 divide 2648896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -147603\/20 + 7382. Let b = 16602827837\/1602 - 10363813. Let y = -8\/89 - b. Calculate the common denominator of y and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8360.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -7) + 7 + -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 101 - 93. Does n = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3013922576?\nAnswer: 2, 7, 19, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/208 and 23\/2085040.\nAnswer: 27105520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 5 = 5*x, 217*x + 3*r = 214*x + 15. Solve -x*l - 5 = -5*b + 13, 0 = -l - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140*l + 45489 = -425191. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -3. Let n = -126 - -126. Suppose 2*u - 4*u + 26 = 4*t, -4*u + 20 = 0. Sort t, n, w in increasing order.\nAnswer: n, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 48 = 128*c - 136*c, -3*c + 9 = 0. Let v(y) = -37*y + 220. Give v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -20, -29, -42, -59?\n\"Answer: -2*y**2 - 3*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 2\/21  (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 6762*y + 41898. What is s(-7)?\nAnswer: -5436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -16487 divided by -82\nAnswer: 16487\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2435 (base 6) to base 9.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of 2*v**3 - 1. Let b(u) = -4*u. Calculate b(i(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 2788 = 38*g + 4*g - 732 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 188175367 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93 + -43 + (-20 - 13) - -66.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13.06 - 0.04. Let l = 6 + y. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 8 + 22. Let z be (18 + -3)*2\/t. Let x = 884 + -888. Which is the closest to -0.3?  (a) z  (b) x  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67252754?\nAnswer: 2, 37, 908821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -3, 7 in descending order.\nAnswer: 7, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttmqtqq. Give prob of picking 1 m and 3 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 37.427 to 1 decimal place.\nAnswer: 37.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2*b - 2*b)*(-4 + 0 - 4*b**3 + 3*b**3).\nAnswer: 2*b**4 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 1973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -194 - -191. Let u = 1.1 + -0.3. Let f = 0.3 - u. Which is the closest to -2\/5?  (a) 0.4  (b) f  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 less than 44637688?\nAnswer: 44637688.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1526 a factor of 26906945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 501269.\nAnswer: 3007614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2\/4 - 10452*i + 4592715\/4.\nAnswer: -3*(i - 109)*(i + 14045)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 148 by -2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 948, 5153, 12172, 22011, 34676, 50173?\n\"Answer: f**3 + 1401*f**2 - 5*f - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of d**6\/72 - d**5\/60 - 5*d**4\/24 + d**3 - 2. Let z(v) be the third derivative of u(v). What is the units digit of z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22213, -44378, -66505, -88600, -110669?\nAnswer: -132718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of b**4\/6 - 16*b**3 + 47*b**2 - 449*b. Factor v(y).\nAnswer: 2*(y - 47)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -113523 + -5?\nAnswer: -113528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 136\/(-12) - (-2)\/(-3). Let y = z - -14. Suppose -h - y*w + 90 = 3*h, -h = 3*w - 20. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 33*m**2 + 24*m + 6. Let h be g(-6). What is the second derivative of 38*t**5 - h*t**2 + 45*t + 1050*t**2 wrt t?\nAnswer: 760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.44 + -12.44. Let v = l - -15. Which is the nearest to 0?  (a) -1  (b) v  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*u**6 - 160*u - 45*u**3 - 1527*u**2 + 45*u**3 - 170*u**4 + 160*u wrt u.\nAnswer: -720*u**3 - 4080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 - 28. Suppose -3*n - 4*f + 5*f + 72 = 0, 5*n + t*f - 120 = 0. Suppose -2 = 2*s - n. Solve -1 - s = -3*x, -x - 1 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 2*m + 536, 3*m + 709 = 4*x - 0*m. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -341, -343, -345, -347, -349, -351?\n\"Answer: -2*y - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2184*j**2 + 5*j - 4714. Let b(d) = 1093*d**2 + 3*d - 2356. Let i(n) = -10*b(n) + 6*t(n). What is the first derivative of i(k) wrt k?\nAnswer: 4348*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 949431 is divided by 740?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -3) + 766 + -708.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*(5 - -3)\/16. Put o, 3, 22 in decreasing order.\nAnswer: 22, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 5*t = 6*t. Suppose t = -12*s - 11 + 119. Let h = 14 - -4. What is the highest common divisor of h and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 334*u + 2*q + 324 = 361*u, 2*q + 24 = 2*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 9.7?\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 85 - 3. Suppose z - 167 = 2*o, -3*z - 5*o + 408 = -c. Calculate the highest common divisor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 4, 6, -1904?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 36*q**2 - 53*q + 17. What is the hundreds digit of i(-37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-17)*v**(-1\/3)*(v*v**(-2\/17)*v)**28 assuming v is positive.\nAnswer: v**(1804\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-4 - -6)) + (17 + -18 + -9 - 10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v - 4*v + 2*v. Let m(g) be the first derivative of -2*g**3\/3 + 18*g - 2338. Determine f(m(z)).\nAnswer: 2*z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 5*g = 0. Suppose 3*f - 3*o = 15, -121*f + 118*f - 3*o + 3 = 0. Suppose 4*p + 4*d = 14028, g = -3*p + f*d - 5*d + 10525. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9436 - -55031. List the prime factors of v.\nAnswer: 5, 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 - 383*p**2 - 34684*p + 1180. Determine q(-147).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2954 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 706892 is divided by 797.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -462 - -25404\/55. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 2*g - 22 = -3*m, -5*m = 5*g - 30. Solve -3 = -g*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63220 (base 12) in base 13?\nAnswer: 47193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*k - 22*k = -5*n - 6, 0 = -3*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 5 - 1. Suppose u*z - z = 0. Suppose 0 = m + 3*i - 1, -m - 4*i + z - 1 = 0. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 5*l - 4 + 0 = -59, 56*v - 17 = -l + 51 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22425727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**2 - 10. Let d be j(3). Suppose 0 = -4*l, 5*l + 26 = 3*q + d. Let g(a) = -a**2 - 5*a + 11. What is the least common multiple of q and g(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.01 and 2456535.\nAnswer: -24565.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.304 in -3\/4, 4, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 + -12. Let b = m + -4. Solve -b*d = -1 - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285184 is divided by 2012.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 10*r**5 - 3*r**4 + 3*r**3 - 6*r**2 + r + 9. Let q(z) = 0 - 81*z**3 + 80*z**3 + z**4 - z**5 - 1. Let k(c) = 21*q(c) + 3*u(c). Factor k(l).\nAnswer: 3*(l - 1)*(l + 1)**3*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 44162 - 44163.08294. What is s rounded to 2 decimal places?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17078895 is divided by 1856.\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*n**3*w**2 + 22381*n**3 - 529678*n**2*w**2 wrt n?\nAnswer: -18*w**2 + 134286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 226824 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254*7360.\nAnswer: 1869440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 63 = -2*v. Suppose -31 = -4*d + h, -4*d - 5 = -5*h - v. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 77 - 75. Suppose 0 = -2*j + 22 - q. Solve j*w = 13*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from oxxxooo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**3\/9 - 1450*v**2 - 2384766*v - 63336006 = 0.\nAnswer: -3249, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**4 + 36*b**3 + 678*b**2 - 16576*b + 75264 = 0.\nAnswer: -21, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19898 - -19901. Let b = 17 - 5. Is b greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1895860 - 962021. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 114 - 113.8112. Let w = -321.8 - -322. Let n = w - t. Round n to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -42 - -22. Let w = j - -23. Let b = 428 + -448. Put -0.4, 1\/3, b, w in increasing order.\nAnswer: b, -0.4, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + 30\/(-5) - 41655\/(-5955). Which is smaller: n or 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 2 = 6. Let p be (d\/(-3))\/(1\/(-3)). Calculate the greatest common divisor of 8 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -1852 - 41128. Suppose -1 = 3*r + 5, 0 = 3*y + 2*r - 50831. Let n = w - y. Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3. Let r = 1 + i. Let s = -1178\/7 + 168. Which is the smallest value?  (a) s  (b) -4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -318?\nAnswer: -31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3430980 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2. Let w be l(0). Let v = 289 - 157. Suppose 5*c - 11 = -r, w*r + 2*c + v = 4*r. What is the remainder when 122 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -21867d + -2?\nAnswer: -218681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/172 - -1567\/430. Find the common denominator of 42\/(-273) + 2*941\/572 and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/(-5))\/((-98)\/245). Let c(s) = 2*s**2 + 3*s + 6. Determine c(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -171 - -172. Is (-1203664)\/(-44) + i\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9.9921581 and -367.4.\nAnswer: -357.4078419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 a when four letters picked without replacement from {u: 1, p: 8, a: 4}?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*s + 223 - 64 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5\/(-2))\/(3\/(-6)). Let l be (v - 3)*(-2)\/(-14). What is the closest to -1 in 0, -2\/7, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -60.07564 - 4.24?\nAnswer: -64.31564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1551, -2928, -4305, -5682?\nAnswer: -7059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 833.5565l?\nAnswer: 833556.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - i**3 + 1848*i + i**2 - 5*i**2 - 1849*i + 4*i**4 - 2*i**2 + 0*i**2 as j*i**3 + a + b*i + w*i**4 + r*i**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2421392830.\nAnswer: 2, 5, 10531, 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 13, 21, 29, 31, 21, -7, -59, -141?\n\"Answer: -u**3 + 6*u**2 - 3*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of d**5\/5 + 11*d**4\/4 + 37*d**3\/3 + 45*d**2\/2 + 18*d - 697. Factor j(c).\nAnswer: (c + 1)**2*(c + 3)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 14*d**2 + 22*d - 24. Let y be o(14). Let a = -87 + y. List the prime factors of a - 32 - -5*1.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 197*f*i**2 + 83*f*i*z**2 - 60*i**2*z**2 + 861*i**2 wrt f?\nAnswer: 197*i**2 + 83*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1185 + -8a?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -7*g + 4. Let c(n) = -6*n + 4. Let o(w) = -6*c(w) + 5*i(w). Give o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2242)\/(-8) - (12 + 561\/(-44))?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5912729227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 790 divide 209367380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 - -69. Let x(p) = 3*p**2 - 9*p - 2. Let c be x(4). Calculate the remainder when 43 is divided by (-26)\/c*b\/(-12)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*w**4 - 34*w**3 + 12*w**2 - 56920*w wrt w.\nAnswer: 36*w**2 - 204*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of t**3\/3 - 1. Let f = 2 + 1. Let y(b) = 4*b + f - 2*b - 3. What is s(y(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91275950 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.6 and -190.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 28413510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 6*d + 373. Let g(i) be the third derivative of -i**5\/30 + 769*i**2. What is o(g(q))?\nAnswer: -12*q**2 + 373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + t = -4*o + 54, 5*o - 49 = 3*t. Let c be (o - 13) + (-2)\/2 - -15. Let v(f) = f**2 - 12*f + 18. What is the least common multiple of 10 and v(c)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16159148593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1410 - -3217. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**3 + 0*m**3 + 0*m**3 + 3*m**3 + 2*m**3 - 3*m**3 + (-3*m + m + 4*m)*(3*m**2 - m**2 + 0*m**2))*(-4 + 2 + 3 + (-10 + 19 + 17)*(2 - 1 - 2)).\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -2\/17, -0.63 in increasing order.\nAnswer: -0.63, -1\/5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-21)\/(-12) + 3\/12. Suppose -7*t = -2*h - 3*t - 8, -m*h - 4*t + 24 = 0. Suppose h*n = -5*z + 1491, 3*n = -3*z + 5*z - 601. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 times 0.5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 371 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 37 + -28 + (2 - (-1 + (1 - 5)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 12.5. Let m = f - 0.49899. Round m to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16794 divided by -28?\nAnswer: 8397\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 148 + 496. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.17 + -2.83. Let b = -0.42 - -0.27. Let n = b - -0.35. Is k equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -16451, -16465, -16479, -16493, -16507, -16521?\n\"Answer: -14*c - 16437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/2*(18\/10)\/3. What is the tens digit of (-2)\/(o\/(-6)*4\/26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17917658.453 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 502674.8 millennia in months?\nAnswer: 6032097600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from buuuuuubuubuubuubuu.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 26 = t. Let k = 76 - 42. Suppose 5 + 23 = 2*r - 4*a, 5*r - k = a. Solve -v + 4 = -r*v + 3*f, t = -2*v + 5*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 12*w**2 - 2*w + 2. Let n(y) = 455*y**2 - 77*y + 77. Give -2*n(m) + 77*r(m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*t + 8 = 0, 5*t - 17 = 4*v + 14. Sort v, -6, 0 in increasing order.\nAnswer: -6, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 + 5*y - 9. Let s be v(-7). Suppose s*g - 2*g = 0. Are g and 1\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-6*(sqrt(175) - (sqrt(175) - sqrt(175)*2)*3) - ((1 + sqrt(175) + sqrt(175))*-6 - sqrt(175))*-2)*-5)**2.\nAnswer: 150000*sqrt(7) + 10941100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.3791, 5, 4, 2\/13, 0.2?\nAnswer: 1.3791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 5*m**2 + m + 2. Let u be c(-4). Let r = u + -8. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30 - 7. Solve -2*k - r + v = 2*k, -31 = -5*k - 2*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 10:09 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1129, 1130, 1131, 1132?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2208919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 138540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-60))\/((918\/34)\/162).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56504 and 7797552?\nAnswer: 7797552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of -h**6\/360 - h**5\/120 + h**4\/12 + h. Let m(u) be the third derivative of y(u). Give m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3\/2  (b) 4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 550.0971mm in kilometers?\nAnswer: 0.0005500971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 32.14387 kilometers?\nAnswer: 32143.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3714571 (base 10) to base 3.\nAnswer: -20222201102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7280 by 140.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 76b?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -4*h**2. Let m(z) be the second derivative of -z**5\/120 + z**3\/2 + 2*z. Let i(s) be the second derivative of m(s). What is i(r(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k**2 + 1 + 15*k**2 - 6*k**2.\nAnswer: 13*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-395)\/(-474))\/(21\/(-18))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t = -411 - 45. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**4 - 4*t**4 + 0*t**4)*(-2 + 2 + 2 + (3 + 1 - 1)*(-1 + 0 + 0) - 2 - 3 + 3 + 7 + 2 - 4).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5141*c**4 - 15*c**2 - 2148120*c wrt c.\nAnswer: 61692*c**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1110634 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 870 divide 43338431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-604 + 280 + 303)*(2*y - 3*y + 0*y) + y + 7*y - 2*y to the form m*y + x and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -107 - -111. Suppose a*z = -335 + 79. Is z less than -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22\/(13 - 57)*(8 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.927 + 0.073. Which is the second biggest value?  (a) -5  (b) 0.9  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8 + (1 - -2))*-1. Suppose 4*y - y + 35 = c*k, 5*k = 4*y + 40. What is the derivative of 16*w**3 - 19*w**3 + 9*w**3 + k + 3 wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l - 2585 = -5*t - 13*l, -2*l = 4*t - 2062. Does 57 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -258 at least 2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 674 = 3*b. Suppose -3*n + 5*n + u - b = 0, -4*n + 675 = 3*u. What is the greatest common divisor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3*l**4 - 5*l**3 + l + 5. Let q(m) = -3*m**4 - 6*m**3 + m + 6. Let i(k) = -5*q(k) + 6*x(k). What is the second derivative of i(f) wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxplsxpapaapxlsxlxpp. What is prob of sequence ap?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 28 and -8.9?\nAnswer: -249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j - 1. Let r be i(1). Suppose -3 = r*a - s, -a - s + 6 = s. Factor -4\/11*f**2 + 0*f + a - 2\/11*f**3.\nAnswer: -2*f**2*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 77 = -307. Let i be (0 + (-2)\/(-4))\/(n - -47). Which is the smallest value?  (a) -4  (b) i  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 2:13 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-75)\/5)\/(-570)*4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2. Let u(k) = -4670309*k**2. Calculate y(u(h)).\nAnswer: -21811786155481*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5.902 * -6897\nAnswer: -40706.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184 = -16*u - 104. Let d be (4\/(-2))\/((-4)\/2). Suppose -u*t - 54 = d. Which is smaller: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -34.26  (b) 4  (c) -3  (d) -5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 + 11572352794.\nAnswer: 11572352806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.816*-2927\nAnswer: -2388.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 185 + -14. Calculate the highest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**3 + 2 - 163*h**4 + 8*h**3 + 166*h**4 - 2.\nAnswer: 3*h**3*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**3\/2 - 437*l**2\/2 + 4332*l = 0.\nAnswer: -456, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 3*c**2\/5 + 399*c - 35760 = 0.\nAnswer: -745, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 + 20 + 7*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**21\/b*b**(-2\/7)*b**(-20)*(b*b\/b**(-2\/5))\/b assuming b is positive.\nAnswer: b**(39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -9174, -9835, -10936, -12477, -14458?\n\"Answer: -220*x**2 - x - 8953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 3*z + 3*k = 7, 5*z = -3*k + 22. Suppose 3*y + 58 - 196 = 0. Suppose 0 = -3*t - 3*b - 2*b + 35, -z*t + y = -4*b. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61596037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21339833, -21339830, -21339827?\n\"Answer: 3*q - 21339836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 7976960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -3, 20.\nAnswer: -3, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -30816 divided by 48?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 525340129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009051 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**5\/105 + 17*s**4\/3 - 111*s**2 - s - 1. Factor l(d).\nAnswer: -4*d*(d - 238)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 79.275 and -10.\nAnswer: -792.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 25728910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3542 - -5536. Suppose 2*o = -4*d + y, 977 = 2*d + 15*o - 10*o. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2750 by 286.\nAnswer: 125\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express q - 3*q**3 + q - 6*q in the form x*q + l*q**2 + y + j*q**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 85*-1.3251\nAnswer: -112.6335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 0, 49, 3, -15.\nAnswer: -15, 0, 1, 3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -397, -395, -393?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - -2 - 840\/(-64) - 10\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181685020 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (11*(-16)\/24)\/(2\/(-9)). Suppose y - 137 = -2*j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 440, 4, 1 in decreasing order.\nAnswer: 440, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16 and 5.212.\nAnswer: -83.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41488367.\nAnswer: 2267, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 3*x + x)*(11065*x**3 - 2*x - 3 - 11065*x**3 - 89*x**4).\nAnswer: 178*x**5 + 4*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 99*v**2 + 4. Let p(l) = 100*l**2 + 3. What is -3*b(i) + 4*p(i)?\nAnswer: 103*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1582252.5 rounded to the nearest 1000?\nAnswer: 1582000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 10279946, 41119760, 92519444, 164478998, 256998422?\n\"Answer: 10279935*y**2 + 9*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**3\/4 + 1045*g**2\/4 - 54075*g\/4 - 55125\/4.\nAnswer: -5*(g - 105)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -83.97 times 17598?\nAnswer: -1477704.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 + 95*b - 95*b - 2)*(-3*b**2 + 4*b**2 - 2 + b**2).\nAnswer: -2*b**4 - 2*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 37 = -3*o. Let t(l) = -6*l**3 + 47*l**2 + 10*l - 28. Let u be t(8). Which is greater: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 66.3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.6272 - -7.44. Round u to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 871932780 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 3*v**2 + 117819396*v + 1156784172817068 = 0.\nAnswer: -19636566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i + 0*i + 5*i)*(-4*i + 4*i - i**2) - 44*i**2 + 16*i**3 + 44*i**2 + (-14 + 4*i**2 + 14)*(-5*i + 26 - 26) to r*i**3 + d*i + s*i**2 + n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u**3 - 30*u**2 + 261*u - 432 = 0.\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 1)*40\/(-8). Let r(w) = -w**2 + 6*w - 2. Let l be r(h). Which is the second smallest value?  (a) 5  (b) l  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1009.2877111 rounded to one decimal place?\nAnswer: 1009.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/3)\/(7968\/(-26892)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (57 + -54)*(1 - -1 - -1). Let x be (-18)\/(-6) + (1 - j). Let t be ((-1)\/(-2) - 1)*-10. Which is the nearest to 2\/11?  (a) 3\/2  (b) t  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/1078 and 79\/616.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**2 + 38*y - 360. Let t be w(7). Suppose 8\/17*u**3 + 2\/17*u**t + 8\/17*u**2 + 0 + 0*u = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1432\/1259?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c + 3. Let t(a) = 10*a - 1. Let k(o) = 4*i(o) + t(o). Give k(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45 - -49. Suppose -g*y - 12 = -7*y. Solve -q = -y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 30, -4, -15, 1 in ascending order.\nAnswer: -15, -4, -2, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 181\/5820 and -77\/2672.\nAnswer: 3887760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 500, 231, -38, -307, -576, -845?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001346119 to 6 decimal places.\nAnswer: -0.001346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2172700.203 rounded to the nearest 10000?\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 47147257 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of o**7\/105 - 11*o**4\/24 + 4*o**2. What is the second derivative of x(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g. Let f(q) = 42*q - 6. Determine k(f(w)).\nAnswer: 168*w - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/55 and -19\/290.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 36972 divided by 26?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -148.1 - 837.\nAnswer: -985.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 + 18 + 11 - 56 + 10 + 6*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*c - 5*c + c)*(-c - 7*c + 4*c).\nAnswer: 124*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sat when three letters picked without replacement from pataaaivsvapapspatas?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 12 = 4*i - 3*i, 3*b = i + 3. Solve 2*m = -5*l - 5, 0 = -5*m + i*l - l + 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 15*d + 6. Suppose -8*o + 6 = -18. Suppose -3*x - 2*x + o*r - 1 = 0, -x + r = 1. Is 21 a factor of g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.97 minus -79268155114?\nAnswer: 79268155114.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -33700 or -34094?\nAnswer: -33700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-9)*c)\/c**(-10) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9*2\/4*-6. Suppose -r = -3*w - 68 + 207, -3*r = -2*w + 81. Let n = w + p. Solve i + 5 = -4*t - 4, -4*i = -3*t - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*c - 3509*q = -51*c - 3507*q - 86, 5*q = 6*c - 81 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*t - 2737437 - 15*t - 3*t**2 + 2737437.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 8) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101010011010110001111 - 1001111011?\nAnswer: 101010011001100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wmggwwgwegddmddsdd. Give prob of sequence gwed.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 6*f - 5 = 5*q, 0 = -5*q + 5. Suppose 0 = -k - k + 4*y + 16, k + 3*y + f = 0. What is the smallest common multiple of 12 and ((-28)\/(-42))\/(k\/162)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 554*z**2. Let q(a) be the third derivative of a**5\/10 - 18*a**2 - 98*a. Determine r(q(i)).\nAnswer: 19944*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1264381872 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 2 + 4)*(-z - 3 + 3) + (1 - 2 + 0)*(3*z + 0*z - 5*z) as b*z + r and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3 - 11 - 13)*(4 - 5 + 2) - 1 - 3 + 1)*(-1 + l**2 + 1) in the form u + m*l + p*l**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/1889026 and 31\/12.\nAnswer: 11334156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4*b + 12. Suppose 3*y = y + 16. Let q(j) = j - 4. Let i(l) = y*q(l) + 3*x(l). Let r(z) = z. Let h(a) = i(a) + r(a). Calculate h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151 = -18*l - 38 - 99 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*a = 1158031 - 1159278 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -133*v**2 - 1376. Let b(l) = -130*l. What is i(b(u))?\nAnswer: -2247700*u**2 - 1376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - -1. Let x be (-13 - -611) + 0\/((-1)\/1). Suppose 15*y + x = v*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5720*t + 30390 - 30390.\nAnswer: -5720*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -184.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -9 times -0.7\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -210 = 11*v - 16*v. Let w = v - 39. Solve 0 = -w*o + 4 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65504 - -0.178?\nAnswer: 65504.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(4*a - 6*a - 4*a)*(2*a - 4 + 4).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/12)\/((7743\/(-890))\/(6\/15))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 67 = -117. Calculate the greatest common divisor of s and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/160 and 27\/28.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -5*r + 26, 8*g + 6*r - 189 = -149 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3 - 4288*g**2 + 68992*g - 276480.\nAnswer: -2*(g - 8)**2*(g + 2160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 15*w - 2. Let b be c(-27). Suppose 0 = d - 73 - b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of 1\/6*y**4 + 4*y**2 - 4*y**3 + 0*y**5 + 4\/105*y**7 + 0*y**6 + 7 + 0*y. What is the second derivative of r(f) wrt f?\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14573*f**3 - 7269*f**3 - 7302*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, q: 3, h: 3}. Give prob of sequence qqh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/5 - 743*h**2\/5 + 1314*h + 26424\/5.\nAnswer: (h - 734)*(h - 12)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8, -47, -1, 2, 1 in descending order.\nAnswer: 3, 2, 1, -1, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-4) - (-1)\/(-2). Suppose 0 = 5*g + 3*u + j, -3*g + 4 - 3 = u. What is the third derivative of -y**2 - 5*y**2 + 5*y**g - y**4 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**2 + 15*a + 6. Let w be h(8). Let q be w*(-12)\/(-16)*-14. Is q < 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -6)\/(-6 + 7). Suppose -2*d = -4*w - 26, -2*w + 0*w - 41 = -s*d. Suppose 3*m = -6 + 21. Calculate the lowest common multiple of d and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 10:14 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9308801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*h - 2*h. Let j = 6 - h. Let r = 1372 - 1375. Which is the third biggest value?  (a) j  (b) 1.4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/((x**(-2\/17)*x*x)\/x)))**(4\/27) assuming x is positive.\nAnswer: x**(20\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17952 and 14080.\nAnswer: 718080","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + -3 - 133\/19. Let i = 11 + n. Suppose 4*j - 2*u = -7*u + 58, 2*u + 4 = i. Calculate the smallest common multiple of 9 and j.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -8124, -8126, -8128?\n\"Answer: -2*r - 8122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12 + 12 - n + 3*n**2 + (-5 + 16*n + 5)*(n + 0 + 0 - 1 + n + 1 - 3*n + 4*n + 0*n + (1 + 1 - 4)*(5 - 5 - n) - 10*n + 8*n - 10*n).\nAnswer: -109*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -27747 times -18?\nAnswer: 499446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 960340 is divided by 239900.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -894*m**2 - 47*m + 46. Determine i(1).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(686) + sqrt(686) + 1*sqrt(686))\/(sqrt(2) + sqrt(72)*-1).\nAnswer: -21*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 2. Let k(d) = -2*d + 1. Let u be k(w). What is the second derivative of -o - o - o + o**u wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 30*i**2. Let l(t) = 403*t**2 - 39*t + 39. Let c(m) = 21*m**2 - 2*m + 2. Let g(y) = -39*c(y) + 2*l(y). Give u(g(b)).\nAnswer: 5070*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g\/g**(-9))\/g)\/(g*(g*g**1*g*g)\/g))**(-8\/3)*(g**(3\/7)\/g*g*g**(-1))\/((g*g\/(g**(-2\/5)*g))\/(g*g*g*g**6*g)) assuming g is positive.\nAnswer: g**(-279\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -116 - -62. Suppose -21 = 11*a - 8*a. What is the common denominator of 127\/6 and a\/7 + t\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, -22, -49, -76?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/sqrt(8)*5)\/sqrt(6) - -1*sqrt(1152).\nAnswer: 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 53*j - 793. Determine p(32).\nAnswer: 903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -31*u - 608. Let l(n) = -9. Let w(g) = -l(g) + x(g). Differentiate w(y) with respect to y.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6375 and 3000.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k\/k**(-6)))\/k*(k**(1\/3)\/k*k)\/k)\/(k*k*k**(-2)\/k)**(6\/7))**(-6\/13) assuming k is positive.\nAnswer: k**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -641, -1178, -2637, -5480, -10169, -17166, -26933, -39932?\nAnswer: -56625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -185962*w**3 - 494*w**2 - 633905342*w.\nAnswer: -1115772*w - 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 2:23 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-312)\/(-24) + (1\/(-4))\/(93\/4812)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/7 and (34\/(-5))\/((-16)\/(-28))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.17 - -0.03. Let x(m) = m**3 + 26*m**2 + 23*m - 51. Let w be x(-25). Which is the fourth biggest value?  (a) w  (b) n  (c) -6\/5  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -562\/311823 or 0?\nAnswer: -562\/311823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.02 and -20976615811332.5.\nAnswer: -20976615811332.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 2*b**2\/15 + 434*b\/15 + 6644\/5 = 0.\nAnswer: -151, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 137360*x**3 - 9*x**2 - 1540329 wrt x?\nAnswer: 412080*x**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2041 divide 302347617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100001 - 110111000110111?\nAnswer: -110111000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 70128051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 r, and 1 o when four letters picked without replacement from {r: 3, f: 3, o: 1, e: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -445 - -450. Solve -2*a = s - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 6*w**2 - 15*w - 3. Let m be k(-3). Solve -c = 3*n + m, 3*c = 4*n + n + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*d**2 + 7 - 13 + 3*d + 7 + d**2 to y*d**2 + u*d + v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 208175, 416369, 624565, 832763, 1040963, 1249165, 1457369?\n\"Answer: d**2 + 208191*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2438*x = -4877*x + 2427*x - 60 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 14213987.5 to the nearest 100000.\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4381750784?\nAnswer: 2, 8558107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 125 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + -2 + -1 + (7 - 4). Suppose 1 = w - 0*f + 2*f, -5*w + t*f + 17 = 0. What is the third derivative of n**w - 16*n**3 + 5*n**3 + 7*n**2 + 0*n**3 wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29 - 12 - 17 + 169*n)*(0*n**2 + 4*n**2 - 3*n**2).\nAnswer: 169*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/5 + 26586*h\/5 + 176703849\/5.\nAnswer: (h + 13293)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of 3 + 0*w**2 - 1\/3*w**3 + 0*w. Let k(v) = 2*v. Determine r(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l = -256 + 200 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18)\/117 + ((-444)\/(-39))\/(-4). List the prime factors of (-9)\/(-18)*(-7416)\/n.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of 2*i**7\/105 + 7*i**5\/15 + 4*i**2. What is the third derivative of z(w) wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 185*n + 156 - 526. Which is the fourth smallest value?  (a) n  (b) -828  (c) 1\/2  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25769 - 78307 = 2243*c - 9870 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((60\/32)\/(-15))\/((-1265)\/440).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 16 = 16. Let i = -4 + 19. Suppose 2*k - 7*k + i = 0. Solve 4 + f = k*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1139328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 56\/26 - 2030\/182.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66283787.\nAnswer: 163, 406649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = -230*w + 229*w - 25 + 2, 7*s - 5*s + w - 5 = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 286, 1107, 2466, 4357, 6774?\n\"Answer: -o**3 + 275*o**2 + 3*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -829\/24231 + 1\/591. What is the nearest to 2\/5 in -2\/19, -5\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 458\/1275 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 37*(-2)\/(-2) + -2. Let t be -2*(3 + -2) + 6. Suppose -a = t*a - k. Calculate the least common multiple of 8 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8008163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 10\/(-12)*612\/(-80) and -4\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/1293*945\/2. Let n = i - -822047\/7327. Let w = -115 + n. What is the closest to 0.1 in w, 0, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 595 and 144179.\nAnswer: 12255215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -2, 0, -104?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01291191033 to 5 dps.\nAnswer: 0.01291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -182 < -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 - 416646*x\/7 + 1011772.\nAnswer: 2*(x - 208306)*(x - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 1 - 1)*(-s**4 + 1 - 1) - 4*s + 4*s - s**4)*(-15 + 25 - 16)*(0*s - 3*s + 3 + 2*s).\nAnswer: 6*s**5 - 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**3 - 1 + 0*b**3 + b**3. Suppose 25 = l + 26. Let c be m(l). Solve 0 = -q - 3*t - 2, -t + 1 = -c*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -2\/1099  (b) -721.1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.352509 rounded to three decimal places?\nAnswer: -0.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 4*y. Let x(v) = 15745*v. Determine r(x(d)).\nAnswer: 62980*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of 5*p**3 + p. Let o(z) be the second derivative of -z**3\/2 + 15654*z. What is o(f(c))?\nAnswer: -90*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 0 - 3) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, x: 12}. Give prob of picking 2 z and 1 x.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -64*d - 15. Let m(g) = -5*g - 3. Let c(z) = -j(z) + 6*m(z). Let p(f) = 9*f. What is c(p(s))?\nAnswer: 306*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10023302 (base 4) to base 10\nAnswer: 17138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -2 + -1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 355 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4040 (base 6) to base 9\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17307*m**3 + 41013*m**3 + 21610*m**3.\nAnswer: 79930*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j + 4 - j - 5)*(23*j**2 - j + 10*j - 12*j).\nAnswer: 46*j**3 - 29*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - (-3 - 0))*(-7 + 8). Solve -4*w - h*d = -9, 5*w - 2*d - d + 35 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*j - 101672 = -12*j. What are the prime factors of j?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.67  (b) -1\/5763  (c) 2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*6\/9*-9. Let f(i) = i**3 + 7*i**2 + 6*i + 8. Let x be f(d). Let s(b) = 2*b + 5. What is the remainder when 38 is divided by s(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 385 and 840.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5*8\/(-60))\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 345435 and 3.\nAnswer: 345435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -4. Suppose 10 = 4*y - j. What is the remainder when 11 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 j, and 2 k when four letters picked without replacement from {y: 1, k: 2, b: 1, j: 2, m: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31*c**2*p**2 - 380*c**2*p + c*p**2 wrt p.\nAnswer: -62*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -2, 3, 5, 38 in descending order.\nAnswer: 38, 5, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - 2*p + 17. Let g be o(-5). Let i(n) be the first derivative of 2 + 0*n + 2\/9*n**3 + 1\/3*n**g. Solve i(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.091 + 135.091. Let g = k - 60. Let x = -74.99999988 + g. Round x to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108985 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -62, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.7 + -9. Which is the nearest to -1?  (a) s  (b) 0  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -11*l + 15*l + 2*h, 0 = -l + 5*h + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -87*h**2 + 4*h + 3. Let g = -4766 - -4765. What is x(g)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35717\/3 + 11907. Let l = -0.6 + 0.1. Which is the nearest to 0?  (a) l  (b) 6  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**2 + 2907*g - 2907*g + 2 - 9*g**2 - 7.\nAnswer: -7*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -5*u + 8. What is v(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 291 divided by 28.\nAnswer: 291\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -244 - -251. Solve -4*u - 10 = 5*s - 1, -3*s - o = 4*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -10  (b) -0.1  (c) -3304.4  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -33 - ((-11 - -17 - -12) + (-10 - (-3 - 2)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, -2, -13, -40, -89, -166, -277, -428?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(8\/16))\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 8142 divide 881706994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 13*c - 14*c - 14, -2*v = c + 6. Solve c*k + 4*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1765 divided by -353?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1390*u - 1993*u = -4733*u + 81000 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**2 - 2*k + 134 - 134 - k**4 + 3*k**3 to z*k**4 + n*k**3 + i*k + x*k**2 + p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 100\/14 - ((-7)\/7 + 7)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/10 - 411\/(-15). Let n be r\/(-12)*(-2)\/(-12). Let j = -25\/4 - -6. Which is the nearest to j?  (a) 1\/4  (b) -2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 273, 866, 1843, 3204?\n\"Answer: 192*c**2 + 17*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v + 1. Let y be m(5). Solve y*r - r - 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -848*y - 19266 = 166*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*a - 4 + 11*a**4 + 16*a**4 - 26*a**4 + 2*a**2 + 3 - 3 + a**3 to d*a**4 + c*a**2 + m + g*a**3 + w*a and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148*z**2 - 45299 + 45299.\nAnswer: 148*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 58 times 377\nAnswer: 21866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34030026.\nAnswer: 2, 3, 19, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27499?\nAnswer: 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 4*m = -13, 5*m - 2 = 6*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 229100446897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9333.087 minutes to milliseconds.\nAnswer: 559985220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 340 = 14*q + 312 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(176) + 1 + sqrt(176) + sqrt(176) + -2 - ((sqrt(176)*-1 + -2 - sqrt(176)) + sqrt(176))*-5)*-5)**2.\nAnswer: 4400*sqrt(11) + 20625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22282570.\nAnswer: 2, 5, 743, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3468943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 - 2)*(p + 0*p + 0*p)*(-4*p - 5*p + 6*p) + (245*p + 301*p - 430*p)*(92 + 5*p - 92)*(4 + 0 - 2) in the form i + v*p**2 + k*p and give v.\nAnswer: 1169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -4*x + 8. Let s be -2 + x + (-5)\/(-15). What is the third biggest value in 12, s, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 18 + -264b9?\nAnswer: -264a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 + 5 - (4 - -1). Let q(s) = -33*s**3 - 2*s**2 - 2*s - 2. Let n be q(f). Suppose -4*z + 50 = -n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jaaaauwauxwbwauaxj. Give prob of sequence ajab.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(639\/(-1278)*(-4)\/(-14)*(-7)\/(-15)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -1, -7, -6 in ascending order.\nAnswer: -7, -6, -1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1836, 1477, 482, -1467, -4688, -9499, -16218?\n\"Answer: -53*h**3 + 12*h + 1877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1824.0004781 - -1824. What is j rounded to five decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -12) + (121 - (26 - (-41 - -46)))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 73202970 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 1. Let c be (1 + b - -2) + 25. Calculate the greatest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 18324, 144, 4 in ascending order.\nAnswer: 4, 144, 18324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 6*i**2 + 5 + 0*i**2 - i**2 + i**3. Let h be x(-5). Suppose 0 = 4*q - 2*o - 28, -h*q + o + 28 = 2*o. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -4*c**3 + 10*c**2 - 2*c - 19. Let i be 3 - (4\/(-8) - (-27)\/6). Let k(u) = u + 1. Let n(r) = i*l(r) - 2*k(r). Differentiate n(q) wrt q.\nAnswer: 12*q**2 - 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*11 + (-59832)\/5400.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**2 - 828*f - 1672.\nAnswer: 4*(f - 209)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5\/(-10))\/(14\/4696). Let b be (-6)\/(-2) + 163 + 2. Let p = b + y. What is the closest to 0 in p, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 236*f**2. Let q(u) = 43994*u + 43996*u - 87988*u. Give q(x(l)).\nAnswer: 472*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 PM and 7:50 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39040 - -56707. What are the prime factors of p?\nAnswer: 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140 and 33985?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -9*z**2 - 23*z - 16. Let v(x) = 4*x**2 + 11*x + 8. Let c(g) = -3*m(g) - 7*v(g). Let d be c(-7). What are the prime factors of (1 - d) + (-10)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of 2*k**2 + 2 - 2*k - 2\/3*k**3. Factor d(u).\nAnswer: -2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p - 13. Let i be x(-12). Which is the closest to i?  (a) 31  (b) 2\/3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m**2 - m + 3. Let x(a) = a**2 - 1. Let k(s) = -3*c(s) - 7*x(s). Let w = 46 + -41. Give k(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(12\/11)\/w)\/w**(-13\/5))\/(w**32*w*w\/(w*w*w**16*w)) assuming w is positive.\nAnswer: w**(-677\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**3 + 2649*c**2 = 0. What is c?\nAnswer: -883, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + -4*sqrt(320) + sqrt(320)))\/(sqrt(20)\/sqrt(5)*3).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7355169 or -7355196?\nAnswer: -7355169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -14*b - 124. Let i = 3311 - 3320. Determine p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5911 by -61.\nAnswer: -5911\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9342 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 17. What is the common denominator of 41\/4 and r*1*5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5216 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(304)*-2)**2 + sqrt(19) + ((2 + sqrt(76))**2 + sqrt(19) - sqrt(19)) + (sqrt(38)\/((sqrt(2)*3 + sqrt(2) - sqrt(2))*-2))**2).\nAnswer: -233375\/36 - 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2376*z**3 + 446*z - 148*z - 153*z - 151*z.\nAnswer: 2376*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t - 2. Let g be f(12). Let i = g - 3. Let -2*x**4 + i*x**5 - 2*x**2 - x**4 + 0*x**2 + 5*x**4 - 7*x**3 = 0. Calculate x.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k*k**(-2\/81)))**10\/(k\/(k*k**(-1\/45)*k*k))**14 assuming k is positive.\nAnswer: k**(15364\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 43185031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/(-9))\/((-6)\/63). Let t = f + 16. Let n(r) = -r + 16. What is n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.029?  (a) 3  (b) -1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 83*x**2 + 20*x + 69. Is u(-3) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 14008 - 97044 = 4*n, -83044 = 4*n + c. Let u be 1\/(5*(-4)\/n). Suppose 11*w - u = 84. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -7\/2  (b) -4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.2  (b) -2  (c) -32  (d) -19\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-2\/3)*g))**44\/((g*g\/((g*g**6)\/g))\/(g*(g**(1\/2)*g*g)\/g*g)) assuming g is positive.\nAnswer: g**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*m - 5*m + 30. Let z(h) = h**2 - 6*h + 5 - 8*h**m - h - h**3. Let y be z(-6). What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence crl when three letters picked without replacement from {c: 1, r: 3, l: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 44 + (-2 + 1)*2. Let c be 3\/((-33)\/42 - -1). Calculate the highest common factor of c and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 718377?\nAnswer: 3, 11, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = z - 30, n + 0*n - 5*z + 30 = 0. Calculate the remainder when 66 is divided by (2*23)\/(7 + n).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**2\/3 + 3761*i - 328048\/3 = 0 for i.\nAnswer: -11312, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 6*a - 8. Suppose -a*r + 12 = 2*s + 3*r, -3*r = -s - 5. Suppose -t + s = -4. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -50, -2, -22620 in decreasing order.\nAnswer: -2, -50, -22620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, t: 6, p: 2, n: 10}. Give prob of picking 1 n and 2 j.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2*l**5 + 28*l**3 - 28*l**3 + l**2 - 3*l**5 + l**5 + l**5 + (4*l**3 + 0*l**3 - 3*l**3)*(-l**2 + 0*l**2 - 2*l**2) - 8*l**5 + 13*l**4 + 3*l**4 + 9*l**5.\nAnswer: -5*l**5 + 16*l**4 + l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3*r + 194. Let a(m) = -m - 65. Let v(y) = 8*a(y) + 3*j(y). What is the units digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -j + 8*j**3 + 9*j**2 - 2*j**3 - 4*j**3 in the form p + d*j + l*j**2 + g*j**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 12\/6587, 0, -3, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-2)*220\/(-110).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -5*m**2 - 6*m + 21. Calculate l(5).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-18))**(-2\/89)\/(x\/((x\/(x**(-26)*x*x))\/x)*x*(x**11*x)\/x*x) assuming x is positive.\nAnswer: x**(926\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1066 and 1148.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1776 and 504976?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*f**2 + 173*f**3 + 74*f**5 + 41*f**2 - 173*f**3 - 3161*f + 39*f**4 - 18*f**2 wrt f.\nAnswer: 4440*f**2 + 936*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17926179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 7*s - 30. Which is the nearest to -3?  (a) -2  (b) s  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2 + 15*h**2 + 4 + 2 - 4 wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of b**3\/3 - 9*b**2\/2 - 17*b - 111. What are the prime factors of r(-7)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n - 2. Let f(c) = -c + 1. Calculate -f(w) + s(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -5299 >= -5301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/28 and 13\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 14236 = -6166. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4\/9)\/f)\/((f\/(f*f**(-1\/2)))\/f*f)*f**(-3)*f*f*f**(-2\/3)*(f**(-1))**(3\/7)\/(f**(-2\/7)*f**(-6)) assuming f is positive.\nAnswer: f**(283\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 706*j - 32*j**3 - 706*j.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 189403051 to the nearest integer?\nAnswer: 13762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 707 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((1*(sqrt(832) + -3) - (sqrt(52)\/sqrt(4) + -5 + sqrt(13) + -1 + -1)) + 2)**2.\nAnswer: 360*sqrt(13) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {i: 1, f: 1, v: 1, g: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/48 and 19\/89130.\nAnswer: 713040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 5:48 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13533521*n**3 - 8229776*n?\nAnswer: 81201126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000548 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*b + 1 = -2*s, 3*s - 2*b = -2. Suppose -4*m - 5*v + 4489 + 1047 = s, v + 4133 = 3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 6:20 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nlnlllnnllnnln. Give prob of sequence ln.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -15*s - 7*s - 100 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 8 + 2 = 0. Suppose -4*r - 2533925 = -z - 32133930, u*r - 5*z - 14800025 = 0. Round r to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27178.72 rounded to the nearest one hundred?\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 21*h**2 + 36*h + 593. List the prime factors of b(-22).\nAnswer: 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.02 + -3.02. Let i = 4 + -8. Let f = 2 + i. Which is the smallest value?  (a) m  (b) f  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 3 g when four letters picked without replacement from bgzpbnxxxgbpbpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000100001 + 11100110010?\nAnswer: 10100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 17932850.16 to the nearest 100000.\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) - sqrt(1944)*-1)\/(sqrt(768) - (sqrt(768) + sqrt(768) + sqrt(768) + sqrt(768)*2))*5.\nAnswer: -25*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1724 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.3437 * -694.\nAnswer: 3708.5278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 - 5*c - 66. Let x be p(11). Solve x*o + 7*o = 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f + 20 - 236 = 0. Suppose -2*c = -5*y + 9*y + f, -y - 3 = -3*c. What is the second biggest value in -0.4, 0, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.0644049 take away 0.8002?\nAnswer: -13.8646049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 7, l: 1}. What is prob of picking 3 i and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -555 bigger than -170152\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000028496729 to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 35729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 18*j**2 + 58*j - 5. Let h be x(4). Solve 5*s = -2*f + 3*f + 5, 4*f = h*s - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1667.6021 to the nearest ten.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 3, 34, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t + 26. What is x(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3385 or -3387?\nAnswer: -3387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -44515, -89056, -133597?\n\"Answer: -44541*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1058*z - 15841 - 68489 = -1753*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -881, -883, -885, -887, -889, -891?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -117 + 35. Let y = -42 - i. Let g = y + 31. What is g rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.2, -3, -9, 0.5, 133 in decreasing order.\nAnswer: 133, 0.5, 0.2, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 8295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000842 to 6 dps.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*c - 33*c + 18034 = 56*c. Calculate the remainder when c is divided by 251.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 134 + -142. Does 19 divide (-7)\/56 + (-705)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8696718 divided by 10089.\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4\/9, -1\/12, 0.4, -31, -6, 0.03?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-6)*q*q**(-4)*q)\/((q*q**0)\/(q\/(q\/((((q\/q**6)\/q)\/q)\/q)*q)*q))*(q\/((q**(-2\/3)\/q*q)\/q)*q**(2\/3)\/q)**(-24) assuming q is positive.\nAnswer: q**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 q when three letters picked without replacement from pqpjrdjpqqrjjprdpop.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 7*d = -4*x - 201221, 5*x = -2*d + 44757. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {i: 4, b: 14}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(9\/((-9)\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**2 - 51*v**3 + 90*v**3 - 51*v**3 + (4*v**2 + 2*v**2 - 4*v**2)*(0*v - v + 2*v) + 3*v**3 - 3*v**3 - v**3.\nAnswer: -11*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -676, -2745, -6178, -10957, -17064, -24481, -33190, -43173?\n\"Answer: 3*d**3 - 700*d**2 + 10*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2*((-3827)\/4984 + 15\/24)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 17*q + 2. Let c be f(1). Suppose -6*g + g = -5*l - 25, 3*l - 4*g + c = 0. Let s(x) = -13*x - 1. Calculate s(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -50*k**3 - 15*k**2 + 91*k - 179. Determine o(2).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30353306 plus 0.1115?\nAnswer: 30353306.1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11, -1\/12, 6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-2 + -4) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/24*28\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-14 - -7 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/((b*b\/(b*b\/(b**0\/b)*b))\/b*b)))**(1\/45)*b**(-10)*b*b**(-4\/3) assuming b is positive.\nAnswer: b**(-467\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 3 - 7\/2*z**2 - 35\/8*z**4 - z - 23\/4*z**3 - 5\/4*z**5. Suppose f(n) = 0. What is n?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140425447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32563b (base 12) to base 14.\nAnswer: -16a8d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 13 - 16. Suppose h*c - 8*c = -20. Suppose 123 = c*s + 3*r, -4*r + 54 = 5*s - 101. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s - 3*s + 4*s)*(-299 - 1 + 521 + 624).\nAnswer: -2535*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*y + 129 + 496 = -47 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15247632119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4897 - 24458683.\nAnswer: -24458683.4897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 24. Let g be (-12)\/(-5) + -2 - m\/(-10). Which is bigger: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/18 and 99\/1792?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 0.07, 2.798?\nAnswer: 2.798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-45)*((-6)\/7)\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s + 18. Suppose 4*c + 39 = 91. Give b(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (5 + -6) - (5 - 0 - (-41 + 8)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 459 and 0.3.\nAnswer: 137.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (-2 + 4)\/(-2). What is the first derivative of -1 - a + 0*a**4 + a - a**n wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*q + 50 = -31*q. Put -67, q, 5 in ascending order.\nAnswer: -67, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 - 25. Suppose -j + 5*a = j - 17, -3*a = -5*j - 5. Sort r, j, 0.1 in descending order.\nAnswer: r, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1423, -5, 3, 19, -70 in increasing order.\nAnswer: -70, -5, 1, 3, 19, 1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24*c*d*t*w - 3*c*d - 4*c*t**4*w + d*t**4*w - 7*d*t**3 - 2*d*t**2*w - 2*t**2*w wrt t.\nAnswer: -96*c*t*w + 24*d*t*w - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4951 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4*o + 10, -5*c = -2*o - 4 - 11. What is the highest common divisor of c and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*i = -15. Let v(r) = -r**3 + 4*r**2 - 2*r - 3. Let a be v(3). Let f = a + 2. Which is smaller: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, z: 2, p: 6, q: 2}. Give prob of picking 2 z.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of -f**3\/6 - 2*f + 36. Let o(c) = 81*c**2. What is o(j(u))?\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xxo.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - -57. Calculate the lowest common multiple of j and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 4*u**2 - 2*u + 5. Let c(q) = q**3 + 3*q**2 + q - 4. Let b(p) = -5*c(p) - 4*d(p). Let i be b(0). Factor 0*k**3 + 1\/3*k**4 + i + 0*k + 0*k**2.\nAnswer: k**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l**2 - 58*l - 180. Does 35 divide k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 43.8  (b) -24  (c) -0.2  (d) -5  (e) -4  (f) -8  (g) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/4)\/((-2)\/(-8)). Let m = y - -1. Find the second derivative of -5 + z**4 + 2*z**4 + 5 + m*z wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22802104 divided by 2\nAnswer: 11401052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 815*n**2 - 2*n + 2*n + 6658*n**2.\nAnswer: 7473*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**2 - 3*b**2 + 25*b**2)*(266 - 266 - 19*b).\nAnswer: -570*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 2*l - 5*f + 40, -157 = 3*l + 4*f - 211 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5881783749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1171 = -o + 5*a, -12*o + 9*o + 3585 = 3*a. Do 1189 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - 1280*s**2 + 13 - 57 + 15.\nAnswer: -1280*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -701*i - 5. Let o(b) = 701*b + 6. Calculate 6*n(w) + 5*o(w).\nAnswer: -701*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 243.0564 + -0.0564. Let i = a - 241.53. Let l = -0.23 - i. What is l rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.8 - -21063.69141.\nAnswer: 21065.49141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003023823 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -3*w + 4. Let s(g) = 19*g**3 - 2*g**2 + 1. Let l be s(1). Let d be (-2)\/(-9) - (-968)\/l. Calculate the greatest common factor of w and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 10*l + 23. Let y be w(4). Let g be 14\/6 + 3\/(-9). What is the closest to y in -1\/5, g, 0.16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 207.04+574\nAnswer: 781.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1420450466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-4 - (1 - 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f - 2*f + 5*f + 2*f**2 + 0*f - 12*f**3 in the form q*f**2 + p*f + z*f**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24104 + 24145. What is the remainder when p is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 864?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 65169334 divided by -2\nAnswer: -32584667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -421 - -4?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3\/26 - 96\/13. Which is smaller: -9 or h?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -7*i + 68. Let b be h(17). Let x be 108\/(-51) + 1 + 45\/b. Sort -0.1, 2.3, x in ascending order.\nAnswer: x, -0.1, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5, 14, 33, 68, 125, 210?\n\"Answer: f**3 - f**2 + 5*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 12:06 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31340.53um to nanometers.\nAnswer: 31340530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(2\/3))**(-3\/25)*(n**3)**(-11\/2) assuming n is positive.\nAnswer: n**(-827\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiwwiwiwwwwwwiww. What is prob of sequence wi?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -134 by 67.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -83, -161, -233, -299, -359?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*o**4 + 4 - 9\/2*o**2 + 7\/2*o**3 - 7\/2*o = 0. Calculate o.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -230*n**2 - 27 - 72*n**3 - 5*n**5 - 45*n**4 - 18 - 78*n**3 - 147*n - 18*n.\nAnswer: -5*(n + 1)**3*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*c - 167 - 2459. Let r = c - -234. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2271*u**2. Let w(c) = -18*c**2 - 15*c + 10. Let k(q) = 8*q**2 + 6*q - 4. Let h(a) = 5*k(a) + 2*w(a). Calculate o(h(d)).\nAnswer: -36336*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7904 is divided by 133?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3532 or 24729\/7?\nAnswer: 3532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -5*p + 198, 4*m = 4*p + 20 - 204. Let c = -12 - p. What is the least common multiple of (c\/(-8))\/((-9)\/(-24)) and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k = 12*k + 180. Let n be 8\/(-1)*(-5)\/k*15. Is 106\/4 - (3 - n\/(-4)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 4*y = 25, -5 + 1 = -4*y. Let r(x) = 3*x**2 + 6*x + 10. Let c be r(g). Let w = c - 79. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3518384, 7036769, 10555154?\n\"Answer: 3518385*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -h**9\/12096 - h**7\/5040 + h**5\/30 + h**2. Let u(n) be the third derivative of k(n). Is u(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-6)*(-500)\/(-27500))\/(2\/4).\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5432 = z, 0 = -11*n + 6*n + z + 13594. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*v**3 - 58*v**3 + 132*v**3 - 14*v**3 - 33*v**3 - 33*v**3.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -4*w + 5*d, 0*w + 5*d - 31 = -2*w. Suppose 149 + 1040 = 3*m - 2*y, -w*m - 3*y = -1179. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 8*u**3 - 3*u - 3. Let r = -1473 - -1471. What is s(r)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 182 - 75 - 53 + 2841*v - 55 to the form r*v + h and give r.\nAnswer: 2841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*n**2 + 16*n**2 - n**3 - 4*n**2 + 111*n**4 - 8*n**2 to the form h*n**2 + o*n**3 + d*n**4 + t*n + i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from jjnpjlsljlhljnshj.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**2 + d - d + (0 + 3 + 0)*(0*d**2 + d**2 - 3*d**2) + (-5*d**2 - 2*d**2 + 4*d**2)*(6 - 3 - 5).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4602366 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -14 + 0*g**2 - 7\/3*g**3 + 4*g**4 + 0*g. Find the third derivative of z(h) wrt h.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 5368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -8. Let w(t) = 5*t + r*t - 10 + 0*t + 2. What is the tens digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-3\/4)\/(f\/(f\/(f**5\/f))))**(-33))**33 assuming f is positive.\nAnswer: f**(20691\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 9) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + (-519)\/(-27) - -2. Let a = d - 455\/18. Let m = 146137\/12 + -12185. Calculate the common denominator of m and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of 0*b**3 + 7*b**2 - 1\/12*b**5 + 0 + 0*b - 25\/24*b**4. Let a(h) = 0. What is h?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -103*((-2)\/(-10) - (-12)\/(-10)). Let p = -100 + b. Let t(q) = 2*q**3 - 5*q**2 + 2*q - 1. Give t(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > -37\/5721330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence acaq when four letters picked without replacement from qwawacwqaoe?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 527704 (base 9) to base 3.\nAnswer: 120221210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 AM and 11:52 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 437\/161 - 4\/(-14). Let n(m) be the first derivative of 1\/2*m**4 - 4 - 5*m + 0*m**2 + 0*m**s. Find the first derivative of n(a) wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(10) - sqrt(10)*4)\/sqrt(5).\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of o**5\/20 - o**4\/6 - 5*o**3\/6 - 3*o**2\/2 + 5*o. List the prime factors of u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27\/(-42))\/9*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 6 = 4*u, -2*u + 16 = -6*u. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**2 - 7*m**2 + 2*m**2 + 4 - 4 - 4*m**2 - 2*m**2 - 3 + 3 + (-2*m + 1 - 1)*(2 - 2 - 2*m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-3 + -4 - (7 - 9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**2\/3 + 42*c - 1460\/3 = 0?\nAnswer: -73, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15887618489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -412*h**2*r**3*u + 17*h**2*r**2 - 3645*h**2*u**2 + 118*h*r**3*u - 4560*r**3*u**2 wrt u?\nAnswer: -7290*h**2 - 9120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 7, t: 2, x: 1, r: 4}. Give prob of picking 1 s and 1 t.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.245 - 1.145. Put -1\/2, s, 3, 2\/5 in descending order.\nAnswer: 3, 2\/5, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6cb6 - -1?\nAnswer: -6cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -60657\/32 or -1896?\nAnswer: -60657\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*c = -45, 0 = -4*w + 36*c - 41*c + 41. Sort w, 10, 2, -5.\nAnswer: -5, 2, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - -9. Sort 1, t, -6.\nAnswer: -6, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 10*o**2 + 9*o - 19. Let y be u(-11). Let g = -209\/17 - -465\/136. Calculate the common denominator of g and 730\/(-210) - (-1)\/y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/4 - 17*f**2 - 65*f - 64.\nAnswer: -(f + 2)**2*(f + 64)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0*o + 144 = 0. Suppose -19 = -4*j - u, -4*j - 2*u - 4 = -3*j. Calculate the greatest common factor of o and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (273*(-6)\/(-72))\/(5*1\/100). Calculate the highest common factor of v and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 234338 divided by -18026.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 8.8. What is the closest to 0.1 in 0.3, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/14 and (-206)\/(-12) - -3 - 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0131026 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 11498215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - u + 1. Let w(c) = -34*c - 3 + 35*c - 4 + 7. Give w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhmhmmmhppmh. What is prob of picking 4 h?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - 8. Let s(x) = x**3 + x - 1. Let o be s(2). Let a = u + o. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(1053\/(-2470)))\/(140\/1764*7)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2. Let t(y) = -19617*y + 2. Determine f(t(j)).\nAnswer: -384826689*j**2 + 78468*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -11*w - 2. Give i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 27. Suppose 3*j = l*n + 29, 0*j + 5*j - 20 = n. Suppose -2 = -0*k - k. Solve -4*z - 17 = j*o, 2*o + 0*o + k*z + 8 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14354204 (base 9) in base 3?\nAnswer: 111101211020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-3\/5))\/(n*n**(5\/4))*n**0*n*((n*n*n**(-1))\/n)\/n assuming n is positive.\nAnswer: n**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 72119.259us?\nAnswer: 0.0000200331275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/4785 and 1\/870.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 9 = -15*y. Let l be ((-6)\/4)\/(6\/(-8)). Let z be (-4)\/3*3\/(-1). Solve -l*f + 4*q - z = q, -f + 5*q = y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(20) + -4)*5)**2.\nAnswer: -3600*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 AM and 4:48 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 189.9453g to milligrams.\nAnswer: 189945.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/8  (b) 0.9  (c) -2\/9  (d) -0.2  (e) 5  (f) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -1686 + 1696 + x + 3*x. What is u(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 101202268 or 101202267?\nAnswer: 101202268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-6)*(-8)\/(-3). Suppose -5*c = -3*w - 92 - 54, -2*c + w = -57. Solve b*s - c = -f + 4*f, 20 = 5*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5660 - 3770. What is the greatest common factor of 42 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(77)*2 + 4*3*sqrt(77))\/(sqrt(110)\/(sqrt(10)*3) - sqrt(55)\/sqrt(5)*-2).\nAnswer: 30*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 - 1 - 1)*(0*v - v + 2*v) - 33 + 15 + v - 9)*(-v - 4*v + 0*v) to i + g*v + s*v**2 and give g.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1235.2 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of -h**5\/20 + 11*h**4\/12 + 5*h**3\/6 + 31*h**2\/2 + 30*h. Is r(9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.8 + -8. Which is the third smallest value?  (a) 0.2  (b) l  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 115 = -4*z, -4*h = z + 2*z - 88. Suppose -2*r - 56 = 2*g, g - 2*r = -z + 3. Do -29 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -234.\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 37298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 106427 = -2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.45 + -327.45. Let k = z - -324.92. Which is the third smallest value?  (a) 2\/3  (b) 7  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 213320 + -14?\nAnswer: 213302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + 2691 = -2468. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0, -34, -3\/4, -2\/9, -1 in increasing order.\nAnswer: -34, -1, -3\/4, -0.3, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 16 + 13 - 53 + l**2 - 8*l + 20. Let a(j) = 2*j**2 - 20*j - 10. Let k(q) = -5*a(q) + 12*r(q). Factor k(x).\nAnswer: 2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2047 and 14329.\nAnswer: 14329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*t + 612 = -143*t. Suppose 0*n - 5*n + 10 = 0. Suppose -5*o = 2*y - 26, 4*o = -y + 11 + n. What is the remainder when t is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 127421005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-7)\/(-105)*-3*15\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*j**2 + 46*j**2 + 0 + 1 + 3.\nAnswer: 62*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 62054129 and -280660?\nAnswer: 62334789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 395502643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*b = -15, 0 = 3*o - 0*o + 2*b - 1. Suppose -2*u = -5*x - 0*u + 110, -o*x + 85 = -5*u. What is the highest common factor of x and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f, 0*q - 2*f + 52 = 4*q. Solve -4*u - q = -k, -2*k = 4*u - 4*k + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -679, -680, -681?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 12, 1 in decreasing order.\nAnswer: 12, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*g + 2*g + 16*g + (-g + g + g)*(-5 + 3 + 1) - g + 2*g + 0*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 360\/(-20160)*14\/4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 323101313311121 - -11?\nAnswer: 323101313311132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -27 - -17 - (-7 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6584, -13155, -19726?\nAnswer: -26297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, b: 1, n: 5, w: 4}. Give prob of picking 1 h, 2 n, and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 4. Let d be ((-2)\/(-6))\/(7\/42). What is the common denominator of -15\/11 and 545\/20*d\/n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.258752 and -50.\nAnswer: -49.741248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-1 - -4 - (-2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + a**2 - a. Let b = 4172 + -4178. Let k(i) = -5*i**3 - 5*i**2 + 6*i + 17. Give b*d(r) - k(r).\nAnswer: -r**3 - r**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 8 = -33 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2874 + 8813. Let n = -202 + x. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -3*h**3 - h**2 + 3. Let l be j(0). Suppose 0 = -l*k + d + 1108, -2*d + 1048 + 806 = 5*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 7*v**2 + 1. Let q(y) = -2*y**3 - 28*y**2 + 683. Calculate 4*m(u) - q(u).\nAnswer: -2*u**3 - 679","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (-4 - -2) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 7. Let r be 1*((-6)\/d)\/(-2). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 7*o - 11. Let y(f) = -3*f + 5. Let d(q) = 4*u(q) + 9*y(q). Let n be 2\/5*(-15)\/3. Let v = 1 + n. Let z(r) = -r + 3. Determine v*z(s) + 2*d(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of 30*p**2 - 7\/25*p**5 + 3\/10*p**4 - 23\/600*p**6 + 1\/336*p**8 + 0*p + 0 + 3\/175*p**7 + 0*p**3. Suppose s(w) = 0. Calculate w.\nAnswer: -3, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 4:18 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59738 - 934481536\/15643. Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04304, -1, -12.8 in increasing order.\nAnswer: -12.8, -1, 0.04304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 129097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 42, 0, -18, -0.7, -0.4 in ascending order.\nAnswer: -18, -0.7, -0.4, 0, 1\/3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 91 and 6942.\nAnswer: 48594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11070 - -11079. Solve -5*x + p = -2*w, -3*w - 3*x + 21 = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - -6) + (1 - 3). Let l(o) = o**3 + 14*o**2 + 9*o + 11. Let h be l(-10). Suppose -a*j = -6*j - 2*f + 158, 0 = 4*j + 5*f - h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rmr when three letters picked without replacement from mmrccrccmqcc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 688186 and 326?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -926 - -73?\nAnswer: -893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/4*(-4)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 111 - -4?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/4)*u**(-4)\/u*u*u**(1\/3)*u**(-1\/3)*(u**0)**(-29)*(u**(2\/5))**(-35\/4) assuming u is positive.\nAnswer: u**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {t: 3, a: 3, m: 4, h: 2, w: 1, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -2 - 78. What is the units digit of (16\/q)\/((-2)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -315*g + 359*g - 3050036. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 0.09  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g = -2*c - 2*g + 4, -2*c + 3*g = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 62310 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(21) - (sqrt(525) + (sqrt(525)*2 - sqrt(525)))) + sqrt(21) + sqrt(21) - -1*sqrt(2100))\/(sqrt(28) + 1*sqrt(4032)).\nAnswer: 9*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 63*q + 121*q + 15*q - 163*q**4 + 31*q**4 wrt q.\nAnswer: -1584*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11612  (b) 210  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 = 9*q - 876. Let l(a) = -7*a**2 + 2*a + 2. Let t be l(2). Calculate the remainder when q is divided by (-1 + 4)*t\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 15 = 3*z, 3*k + 7*z = 12*z + 31. Let n = -21 + 25. Suppose 10 = -2*f + n*f. Solve -18 = f*j + k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = t - a, 9639*t + 1 = 9635*t + a + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**2 + 2 - 2)*(4814 - 4814 + i + 8*i**3 - 54*i**2).\nAnswer: 8*i**5 - 54*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 19479088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -1\/10, 0.1 in descending order.\nAnswer: 25, 0.1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 138*l**2 + 9 - 7*l - 70*l**2 + 8 - 67*l**2 - 5. Suppose 5*o - n + 46 = 0, -n + 28 = 3*o - 6*o. Is 39 a factor of q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1dff8 (base 16) to base 12.\nAnswer: -5b134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25592 and 2744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/28  (b) -96  (c) -3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - 7. Suppose q = -2*v + 5*v. What is the first derivative of 8*y - 4*y**v - 3*y - 5*y + 12 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -181920 or -1273432\/7?\nAnswer: -1273432\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3073*-6.\nAnswer: -18438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppxxggggxg. Give prob of sequence gxx.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 1:58 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**11\/55440 - q**7\/630 - q**4\/4 - 5*q. Let z(m) be the third derivative of a(m). Find the third derivative of z(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-15) - 40\/25. Let i(t) = t**3 + 3*t**2 + t + 1. Let z be i(m). Let n = 8 - z. Solve -4*a - a = 5*w + n, 3*a - 5*w = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 204*m - 205*m - 9 - 18. Let q be v(-33). Solve -4*a - 3*n + 32 = -q*n, 5*a = -4*n + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 2, -5, 2\/17 in descending order.\nAnswer: 2, 2\/17, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 1356600 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2*d + 3 = -64, -x - 1 = 4*d. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 15*g - 20*g - 4*k, -g = 2*k - 3. Suppose -19 = -2*n - 13. Solve 2*j - 3*l + g*l = -4, 0 = n*j + 5*l + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5590917767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 24251.\nAnswer: 3\/24251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3532, 7062, 10592, 14122?\nAnswer: 17652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -422907, -422945, -422983, -423021?\n\"Answer: -38*f - 422869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - i = 0. Let j = 0 - i. Let l(p) = 2*p + 14. Let z be l(-7). Solve 4*x + 4 + j = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 795, 1593, 2391, 3189?\n\"Answer: 798*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {w: 5, a: 3, r: 5, h: 3, j: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2569414607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, f: 1, g: 1, j: 1}. Give prob of sequence gb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 159 + -100. Suppose -2*n = -n - h. Suppose -3*r = -2*c - 64, n + 28 = 4*r - c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3577 and 1086751?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11000000000011000 (base 2) to base 11\nAnswer: -6796a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48.27095l?\nAnswer: 48270.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 79622*x**2 - 6182*x + 7?\nAnswer: 159244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3061272 and 6412?\nAnswer: 21428904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 156\/127 + -14459\/3810. Find the common denominator of -35\/24 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8538 divided by 3\nAnswer: 2846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 9, x: 9}. Give prob of sequence qqxx.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17191 is divided by 167?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -266*r + 76. Let k be a(-7). Let q = k - 1254. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -47, -109, -185, -281, -403, -557?\n\"Answer: -m**3 - m**2 - 52*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 AM and 6:51 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -304453651 + -1?\nAnswer: -304453652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.2 less than 3959290?\nAnswer: 3959285.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 233\/30 - 23\/3. Let v be 3\/27 - (-20)\/(-18). Does v = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 3\/((-3)\/(-4)). What is the nearest to 1 in 2\/3, -1, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 36*a**2 + 38*a + 45. Let n be x(-37). Which is bigger: 16 or n?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2958 divide 4936793607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 83 = 87. Solve 5 = -k*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.0147716 rounded to two dps?\nAnswer: 2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4735753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -y**3 + 482*y**2 - 2*y - 1 wrt y?\nAnswer: -6*y + 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x. Let m(w) = -w + 2. Let k(v) = -2*v + 5. Let g(j) = 4*k(j) - 10*m(j). Give g(h(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 + 3)*(4 - 1 - 1) - 2 + 0 - 12 - 212 + 55 + 82 - 1 - 2 + 2)*(5*g - 3*g + 0*g) + (0 - 2 + 3)*(2*g + 4*g - 7*g) + 0*g + 3*g - 5*g.\nAnswer: -179*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2858 - 2418 = 0. Let x = t + -728. Suppose 0 = -5*n - 1 + x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 6*j**2 - 974*j - 75014. Give f(-57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z. Let m(g) be the second derivative of g**3\/6 + 141*g. Give 3*m(d) + 4*o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**5 + 3*d**5 - 2*d**5)*(-2 + 0 - 1) + (5*d**4 - 2*d**4 - 4*d**4)*(5*d - 4*d - 2*d).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 195721475 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 7*v - 4. Let j = -2 - -7. Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.262694 micrograms to grams.\nAnswer: 0.000001262694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1170636749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 386372469 by -411.\nAnswer: -940079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/11122919 and 39\/2363.\nAnswer: 189089623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 71 - 71.0000152. Round t to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6493250 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0885949 - -0.08722. Round a to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -47*g**2 - 2*g. Let o(n) = n**2. What is o(l(r))?\nAnswer: 2209*r**4 + 188*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -3*n - y - 16, -4*n + 43*y = 8*y + 21 - 141 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 245 = 620. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 56\/14*(-2)\/(-4). Let n be -3*(-11)\/d*16\/(-24). Let i(g) = -g**2 - 9*g + 14. Determine i(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24883*q + 12431*q + 12420*q.\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 8. Let v(k) = k + 7. Let q(a) = 2*o(a) - 3*v(a). Suppose 30 = -4*m - m. Is q(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 + -33. Let t be l + 3 + (-10 - -3). What is the tens digit of 278 + t + (-6)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3842729?\nAnswer: 11, 31, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 37881719 or 37881716?\nAnswer: 37881716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 2*d - 59, -10*f - 90 = -14*f + 3*d. Calculate the remainder when 439 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 976.3 - 977.5683. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of -x**6\/120 - 7*x**5\/60 - 5*x**4\/24 - 5*x**3\/6 + 147*x**2. What is j(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h + 18. Let m = -116 - -120. Let a(f) = -2*f - 18. Let v(g) = m*a(g) + 3*k(g). Let x(i) = 6*i. Determine v(x(z)).\nAnswer: -12*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**2 - 3*z**2 - 2*z**2)*(z - 3 + 3) - 2*z**3 + 3 - 3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**2 + 5 - 5 + (-a - a + 0*a)*(-4*a + 0*a + 2*a) + (-6*a - 9*a - 2*a)*(3 - 1 + 0)*(-a + 4*a - 2*a).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -d + 13, 477*d + 4*n = 476*d - 42. Calculate the lowest common multiple of d and (-9)\/(-3*(-3)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1110 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 848 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -336, -521, -420, 111, 1216, 3039?\n\"Answer: 24*o**3 - o**2 - 350*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.8, -0.5, 1\/6?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 4) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**3 + 2528*u**2 + 4712*u - 424032 = 0.\nAnswer: -1262, -14, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-252)\/72 - (-11)\/4. Which is the nearest to 2\/77?  (a) y  (b) -3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 320 divided by -80\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/4*16\/(-24). Let w = 82\/7 - 710\/63. Sort w, z, -0.5 in decreasing order.\nAnswer: z, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41500902511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*o**4 - 17*o**4 - 53*o**4 + (o**3 + 0*o**3 - 4*o**3)*(-o + 2*o - 2*o) + 5*o**4 + 0*o**4 - 3*o**4.\nAnswer: -75*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-38)*q)**(2\/33) assuming q is positive.\nAnswer: q**(80\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10561 is divided by 2637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2 and -22747.\nAnswer: -22746.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.9 - -0.1. Let a = -1646\/333 - 7\/555. Let z = a - -50\/9. What is the nearest to z in -5, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z**2 - 5*z - 1. Let p be i(4). Let l(o) = -2*o - 5. Let f be l(-6). Let d be (8\/14)\/((-6)\/(-21)). Solve w + d*s - f = 0, -2*w + s = -0*s + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 8*u + 4. Let a be g(-7). Let b be a + 3 - 2 - -2. Solve b = 2*p + 2, 5*l - 3 = -5*p + 3*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10686679, -21373356, -32060033?\nAnswer: -42746710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 4207.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/15)\/(12\/60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 551, 2, 3, -2, 22, -116 in ascending order.\nAnswer: -116, -2, 0, 2, 3, 22, 551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - 2*i - i)*(-2*i**3 - i**2 + i**2) - i**4 + 2*i - 2*i - 20*i - 22*i**4 + 20*i.\nAnswer: -19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.047*848.6.\nAnswer: 39.8842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 114483*w - 114420*w + 2898 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 - 5*m - 16. Is y(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*t + 568065 - 566745 = 0 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 66, 0.2, 2\/5, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 9*i**2 + i + 11. Let n be v(9). Calculate the highest common divisor of n and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2017\/40 - -405\/8. Put 3\/8, -14, w, -5 in ascending order.\nAnswer: -14, -5, w, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/1*(-15)\/(-165)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217*r - 95*r = -132*r. Solve -k + 3 = 0, -27*g + 23*g + k + 1 = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/(-24) - 1158\/(-16). Suppose 2*g - y = -g - 4*r, 0 = 3*g + 2*r - 72. Suppose -6*z + 380 = -2*z. Calculate the remainder when z is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a. Let m(k) = -3*k. Let y(u) = -14*h(u) + 4*m(u). Let p(f) = -2*f. Let j be 14\/4 - 1\/(-2). Let c = 16 - 11. What is c*y(n) + j*p(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 5544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 - 11*p**2 + 8*p + 17. Let n be t(10). What is the closest to 1 in 7, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.63798km to meters.\nAnswer: 47637.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {w: 1, p: 2, y: 1, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2936 + -2846 + -1 + 1 + 1 - (4 + 3).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1703 and -1.\nAnswer: 0.1703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {p: 1, z: 2, h: 8, k: 4, t: 1, j: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 25*t - 6. Let v be d(7). Let p = 243 - v. Suppose -2*j + p = 218. Round j to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - (12 - 11\/121*11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2*l + 2. Let j(k) = -2*k**2 + 12*k + 4. Let d be j(6). Suppose -d*q + 7 = 4*t - 29, 5*q + 25 = 5*t. Let h = t - 11. Calculate b(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 138*h**3 + 13*h**2 + 13*h - 19. Let d(q) = -80*q**3 - 6*q**2 - 6*q + 9. Give -9*d(y) - 4*s(y).\nAnswer: 168*y**3 + 2*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 - -222.7.\nAnswer: 223.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 36 times -954345\nAnswer: -34356420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/3  (b) -2\/101  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 163 = w, 4*w + 3 + 5 = 0. Let y be (-1329)\/(-27) - (3 + (-100)\/36). Let u = y + o. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8665 divide 2419135353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -6 = -1\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-72)\/(-288) - (-609)\/28. Solve -82*a - 240 = -t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 4, t: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -100 - -112. Suppose 0*d + 6*d - h = 0. Suppose -k = 3*v + d*k - 27, 3*v = -2*k + 26. Solve -15 = -5*b + 2*j, 0 = -4*j + v + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2064 divided by -258?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of 19*a**6\/120 + 47*a**5\/30 + a**4\/6 - 1674*a**2. What is the third derivative of k(u) wrt u?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 110*c + 17719. Determine k(-161).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18391 = 8*w - 5*w + 2*y, -y = 3*w - 18386. What are the prime factors of w?\nAnswer: 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/6*(-2)\/((-140)\/(-147)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -2*a - 20, -15*t = 4*a - 5*t - 50 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (6*-1*sqrt(304) - (6*(sqrt(304) - (sqrt(304) + 0)) - sqrt(304))) + (sqrt(304)*4 + -4 - sqrt(304)) + -3)**2 + 3.\nAnswer: 80*sqrt(19) + 1244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c + 14. Let p be d(-8). Let q = 12 + p. Solve q*l + 2 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - 129*(-7)\/147\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 45\/451 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -91 + 152. Let q(r) = -o*r + 47*r + 1 + 0 - r**2. Let d be q(-14). Solve -2*l - 3 = d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.108, 4\/3 in increasing order.\nAnswer: 0.108, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rzz when three letters picked without replacement from zryzrzl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -43730 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 18*o + 554. Let j(i) = 4*i + 111. Let m(h) = -14*j(h) + 3*s(h). Let v(t) = -2. Let x(k) = -k - 18. Let b(u) = -18*v(u) + 2*x(u). Give m(b(c)).\nAnswer: 4*c + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - y - 1. Let w(q) = -3*q**2 - 24*q - 21. Let l(r) = -w(r) + 2*x(r). What is the units digit of l(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 27*g**3 + 8*g**2 - 6*g - 3. Let l be o(13). Suppose l - 360590 = -i. Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-97*n - 4 + 2 + 95*n)*(2*n + 2*n - 3*n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-196)\/(-132) - (-2)\/11\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is a8 (base 15) in base 7?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 8*a - 20 = -3*u, -u = -a - 5. Let x be (-40)\/(-100)*(1535\/2 + u). Let y = -160 + x. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -36 - -55. Suppose 4*q = c + 5. What are the prime factors of ((-18)\/(-4))\/(3\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04581859 + 586.918?\nAnswer: 586.87218141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 36 + (-114 - -71) - 16\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g + 11*g**2 - 3*g + (0 + 0 - g**2)*(3 - 4 + 2))*(1 - 4 - 1 + 3 - 3 + 3 - 2 + 0 + 0 + (-2 + 0 + 1)*(1 + 3 - 3)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 - 30*j + 41. Let i be x(29). Calculate the highest common factor of i and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*g = 15*g + 81. Suppose -x + 22 = 4*a, a - g = 3*x - 2*a. Solve 0 = d - 4*v - 1 - 4, -5*d = 3*v - x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 145704 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144751*y + 9766 = 145008*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 6:20 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**2*d*q**2 - b**2*d*q + 53*b**2*q**2 + 103*b*q + 2*d wrt q.\nAnswer: -4*b**2*d + 106*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (21\/(-2))\/((-25)\/(-10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -o - 2, 2*k = -5*o - 12. Put 1, k, -6 in increasing order.\nAnswer: -6, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of m*r - 62429*m - 15632*r wrt r?\nAnswer: m - 15632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 t, and 1 n when three letters picked without replacement from ffttttnzy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.07  (b) -1760\/53  (c) -0.5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 259 a factor of 29448300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 520332533 is divided by 364?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 180625 divided by -10625\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of f*m*z**2 - 30*f*m*z + f*m + f*z**2 + 62*f*z - z**2 wrt m?\nAnswer: f*z**2 - 30*f*z + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25\/(-10)*(-4)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 8  (b) 2\/37  (c) -2\/5  (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 667772.4 years?\nAnswer: 667.7724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.144  (b) 73  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 1432?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002969 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 387265856 divided by 4\nAnswer: 96816464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 937*c + 844*c - 145*c = 123*c - 18156 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -16. Let k = 8 - 5. Let m(w) = w**3 - 10*w**2 + 10*w - 12. Let a be m(9). Put a, k, r in increasing order.\nAnswer: a, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -5*b**2 - 216*b - 34. Let r be s(-43). What is the greatest common divisor of 1179 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14016 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -356.78 - -366. Let p = -0.78 - s. Let t = p - -13. What is the nearest to -1 in 0.4, t, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2823 + -403. Let i = 2424.945 - m. Let b = i + 0.055. What is the biggest value in 1, 0.4, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.04748 nanoseconds to seconds.\nAnswer: 0.00000000404748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 154.1 + -154.1. Which is the nearest to 0.1?  (a) -62  (b) v  (c) 0.4  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2283945, 2283924, 2283881, 2283810, 2283705, 2283560, 2283369?\n\"Answer: -g**3 - 5*g**2 + g + 2283950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 450 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u - 991 = -4211. What is the greatest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 958137898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of -t**4\/12 - 5*t**2. Let r(q) = 2*q. Calculate x(r(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 3*m + 4 = 4*f, -m + f = 0. Let u(g) = 168*g + 851. Let z be u(-5). Solve 0 = 5*y - 3*h - 35, m*y + h - z = -0*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i - 4*i = -14*i - 5*w + 36, 16*i - 3*w = 3*w - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 2\/107  (b) 0  (c) 0.1  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 - -3. Suppose 35 = 4*s - 5*l, -4*s - 15 + y = -l. Suppose -s*w + 5*h + 40 = 0, 4*w - 3*h - 8 = 5*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -216, -438, -662, -888, -1116?\n\"Answer: -k**2 - 219*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(4\/(-19))*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g**5\/2 + 149*g**4 + 6021*g**3 + 5134*g**2 - 57859*g\/2 + 17625 = 0. What is g?\nAnswer: -250, -47, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6446.\nAnswer: 2, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 160 divide 59068960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38475 is divided by 542.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/6, -1, -3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*b**4 - 9*b**3 + 75753*b**2 + 26943230 wrt b?\nAnswer: 32*b**3 - 27*b**2 + 151506*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -101011010010 (base 2) to base 9\nAnswer: -3717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**4\/9 - 38*m**3\/9 - 437*m**2\/9 - 1360*m\/9 = 0. Calculate m.\nAnswer: -17, -16, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 51*i**3 - 27*i + 27. Let y(u) = 4*u**3 - 2*u + 2. Suppose 0 = -3*q - 15, 7*d = 10*d - 3*q - 9. Calculate d*l(o) + 27*y(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 1 + 11. Let c(b) = 0 + 5 + 10*b - b**s + 2. What are the prime factors of c(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5110.279 to the nearest ten.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 44495\/18 + -2477. Let z = -1085135\/99784 - 2\/12473. Find the common denominator of z and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - -7 - 11 - (0 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/70400 and 31\/435200.\nAnswer: 4787200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4*-19.2\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2\/5 + 215478*x\/5 - 15592176.\nAnswer: 3*(x - 360)*(x + 72186)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 31*r**3 + 97*r**2 - 97*r**2.\nAnswer: -31*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 3\/14  (b) -2\/7  (c) -0.5  (d) 27\/115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 89 = 86. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 4)\/(2\/(-4)). Suppose -d*g + 9*g = 10. Which is bigger: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*o + 5*o + 72 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 5*h**2 + 87*h + 46. Determine u(-26).\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of 5*x**4\/24 - 20*x**3\/3 - 100*x**2 - 109*x - 1. Determine v, given that h(v) = 0.\nAnswer: -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8713 + -3336. Suppose -25*d + 24*d + q = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 256*j**3 - j + 2719*j**3 - 53*j**3 - j.\nAnswer: 2922*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.4 - 26.1. Let s = t + 25. Let a = -0.7 - s. Is a greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 4*p - 1. Let i be w(1). Suppose i*y = -4*c + 31, 4*y - 4 - 16 = 0. Let s = -31 + 59. Solve z + 10 = -2*l, -c*l + 4*z = -8 + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 6*q + 10. Let z be s(5). Let y = 2 + -3. Let c = 1 + y. Solve c = -z*w - 27 + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 11:46 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {f: 7, o: 4, m: 3, j: 3, x: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.04 + -0.96. Let m = 0.36 - 0.06. Which is the closest to h?  (a) -1  (b) 4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*a - 6*a - 2*a + 7*a**2 to the form g*a + j + t*a**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15460 by 3865.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18596, -18594, -18592, -18590, -18588, -18586?\nAnswer: -18584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 2 - 6\/3. Let s be 0\/((0 - -1) + a). Let u be (-4)\/14 + (-19)\/(-42). Is s at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2598 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 15305337.2+0.089946\nAnswer: 15305337.289946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -1502540.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 279 and 90686377?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 0.06456, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p - 1. Let a(q) = 1 - 3766*q + 1883*q + 1882*q. Determine a(s) - 3*z(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of 113*w**6\/120 + 11*w**5\/60 - w**2 - 57. Find the third derivative of u(r) wrt r.\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 - 3 + 21 - 173*b in the form q + k*b and give k.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 69464 and 152.\nAnswer: 69464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -2\/7  (c) 1  (d) 1\/4  (e) -47280  (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 781*w - 395*w = 408*w - 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -7. Suppose 5*l - 15 = s, -6 = 2*z - 2*l + 46. Let q = z - -44. What is the highest common factor of q and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 3220644?\nAnswer: 3220651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.84 - -1.34. Let f(y) = 4*y + 13. Let v be f(-6). Which is the third biggest value?  (a) o  (b) v  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u - 6. Let s be y(-11). Suppose -7 = -t + 3. Let a = t - s. Solve a*z + 31 = 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 80 and 13353856.\nAnswer: 66769280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v**4\/2 + 24*v**3 - 189*v**2\/2 - 24*v + 96 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -467, -928, -1385, -1838, -2287, -2732?\nAnswer: -3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2892882 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/10 - 4662\/(-35). Calculate the common denominator of 1\/20 and v\/49 + -3 + (-621)\/(-140).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - -134?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1812 or 46137?\nAnswer: 1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x - 12. Determine u(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*y - 38 + 26 - 210 = 0. Solve -q = -y*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(-2 + 1) - 0. Let h(v) = v**3 + 6*v**2 - 2*v - 4. Let a be h(-6). Suppose -2*y - k + 14 = 0, 4*y = 3*k - l*k + a. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 - 11 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 30\/7 and 52\/175562835?\nAnswer: 175562835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 3*s = 58 - 7, 5*b - 2*s = 66. What is the greatest common factor of 48 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 228739170*c**2 - 5*c + 5*c - 228739178*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*v**2 - 4*v**3 + 28*v**2 - 8*v**2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*j - 31 + 31 to the form i*j + u and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -6 + 8. Suppose v*f = 3*x - 1367, 2*x + 0*x = 3*f + 918. Suppose -2*k + x = 5*l, -181 = -2*l - 0*k - k. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 64*v**3 + 23*v + 681 - 2*v**2 - 689 - 23*v wrt v.\nAnswer: 192*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 + 2*h**2 - 3*h - 9. Let d be u(-4). Does -0.1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53*w + 45 - 45)*(-3*w**3 + 3*w**3 - 2*w**4).\nAnswer: 106*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-216)\/(-15)*145\/348*-9.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4782 from 0.084.\nAnswer: 4782.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4c8 (base 13) in base 2?\nAnswer: -1101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-8\/7))**(-21\/8) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/56 + (-60)\/14. Let g be ((24\/5)\/(-4))\/(w\/20). Solve 10 = g*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2326*a**2 + 125*a - 3004. Let b be q(48). What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10585749 greater than -10585750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 20342 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1919 + -1918.95. Which is the fourth smallest value?  (a) -0.3  (b) o  (c) -0.4  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**3\/5 + 1204*t**2\/5 + 5810*t + 23080 = 0.\nAnswer: -577, -20, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(41800\/(-75))\/(-88).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 184, 360, 634, 988, 1404?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25647341\/45 + 2814429\/5. Let g = s + 7062. Let t = -24015\/7 - -3439. What is the common denominator of t and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1953 and 0.84524.\nAnswer: -0.165075372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19b436 (base 14) to base 7.\nAnswer: 10526266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 10:20 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -617, -2264, -5001, -8822, -13721?\nAnswer: -19692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -121687, -243395, -365129, -486901, -608723, -730607?\nAnswer: -852565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 260 is divided by 224?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 41. What is the lowest common multiple of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 4:31 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ererrrrerssrs.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rjfj when four letters picked without replacement from rjjrjrfjfj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 3*o = 2*m - 110, -1 = -m. Let s = o + -3. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6708 and 2.\nAnswer: 13416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 128824 in 0.1, -0.5, 0, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 0*s**2 + 4*s - 5 - s**2 + 4. Let z = 9 - 11. Let h = 7 + z. What is b(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 59 - 59 = 3*n, 4*a + 5*n - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 5*x**2 + 8*x + 21. Let y be w(-4). Suppose 0*t - 5*t = y*m - 10, -4*t + 2*m - 4 = 0. Solve t = -22*g + 24*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 0. Let g = 8\/17 + -31\/102. Let s(m) = m**3 + 6*m**2 - 8*m - 4. Let p be s(-7). What is the closest to l in 4, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -r + 2*o - 13, 0 = -3*r + 18*o - 22*o + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 21786 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 12. Let u be 13\/z - 0 - -2. Is u less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 13*o - 17. Let u be x(5). Let g = 48 - u. Solve g*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {r: 2, w: 7, v: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 e, and 2 r when four letters picked without replacement from erregyre.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 12*s**2 - s - 9. Let u = 5 + -17. Let g be m(u). Suppose g*v = -2*v + 1195. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**2 + p. Let x be v(-2). Suppose -14 = d - b, 5*d - b + 30 = -x*b. Let y = d + 15. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/(-28)*(-6)\/(-63)*-6.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -0.44, 1, -1, -94?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of d**4\/42 - 10*d**3\/21 - 75*d**2\/7 - 377*d. Factor c(b).\nAnswer: 2*(b - 15)*(b + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + -1*sqrt(19))*1)**2 - ((sqrt(76)\/sqrt(4))**2 + -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 775*j**3 - 5*j**2 - 5*j - 23. Let r(i) = -387*i**3 + 3*i**2 + 2*i + 10. Let g(u) = 2*d(u) + 5*r(u). Find the third derivative of g(n) wrt n.\nAnswer: -2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 - -5.3. Let j be 26\/(-40) - 1\/(-4). What is the nearest to j in c, -1\/8, 0.06?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77 - 0 - ((-3 - -3) + (13 - (20 + -16))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 133 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g**3 - g**2. Let d be v(-1). Let q be 3\/d*(-12)\/(-9). Suppose -q*k + 4 = 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 131*y**2 - 4*y + 526. Let o be k(131). Solve -5*t = 4*b + 7 + o, 0 = -t + 5*b - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (15\/((-225)\/(-10)))\/(1\/3). What is the units digit of (-5862)\/(-24) + t\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/3 + -7 + 6 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 38*y + 33 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*3\/6*-3. Suppose u*f + 2*b - 8 = 0, -5*b + 12 = -2*b. Suppose 3*k - 15 = -2*k. Solve k*a + 0*a + 12 = f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10\/(-35) - 204\/(-28). Suppose 0 = 4*i - x*i. Solve i = -v - 3 + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -199.3 + 870.3. Which is bigger: s or 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7007 and 1261568.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3759115453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 2)*(-3 + -1). Let p(n) = -4*n - 5. Let u(k) = 2*k + 3. Determine b*p(m) - 7*u(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 856128798504250*j**4 + 53079917348664800*j**3 - 4225831310640*j**2 + 112143104*j - 992.\nAnswer: 2*(j + 62)*(75365*j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/7 - (-112)\/294. Which is the closest to n?  (a) 0  (b) 0.4  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from memmmmmmmmmmm. What is prob of picking 1 e and 2 m?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116656211 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 239333.\nAnswer: 239333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 5*u - 230, 5*a + 130 = -4*u + 324. Calculate the smallest common multiple of a and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -k**2\/2 + 132*k - 1. Let q(f) = -1447*f. Let g(c) = 1628*c. Let y(a) = -8*g(a) - 9*q(a). What is y(w(m))?\nAnswer: m - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11130312 (base 6) to base 12.\nAnswer: -143998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0043524 - 0.0045. What is c rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 3*d + 7. Let p(w) = -43*w + 278. Let v be p(6). Suppose -v = 4*n, 0*k - 3*n = 2*k + 7. Solve -h - k*h = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 1 + 10. Let m be (1\/z)\/((-10)\/30) - -1. Find the third derivative of 0*p**3 + m*p**3 - 5*p**3 - 9*p**3 + 6*p**2 wrt p.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, v: 3, a: 9, y: 1, b: 3}. What is prob of sequence tt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 + 36. Suppose 0 = -t + 2*r - 5*r + 5, -b*t = -r - 20. Solve -t*z = -21 - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 26\/5 of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.14 - -0.44. Let c = 0.2 - 0.1. What is the third smallest value in c, n, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 5*b**2 - 15*b + 2. Let j(c) = 3*c**2 - 10*c + 1. Let a(t) = -8*j(t) + 5*l(t). Suppose -p = 4*d - 6*p + 23, -4*p = 4. Is 16 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(15)\/sqrt(5) + 4))**2 + -5.\nAnswer: 72*sqrt(3) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10975583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/9)\/(8\/(-60)*1). Put 14, 2, w, -4 in decreasing order.\nAnswer: 14, 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 + 7*w + 7. Let c(u) = -u**2 + 2*u + 2. Let b be 8 - (-1)\/(2 + -3). Calculate b*c(k) - 2*z(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*q - 34. Let t(c) = -1 + 0*c - 7*c + 6*c**2 + 5 + c**3. Let m be t(q). Solve v = m*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/7)\/(1\/(-14)*3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -27179 to the nearest 10.\nAnswer: -27180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of 5\/3*r**3 + 1\/20*r**5 + 1 - 1\/2*r**2 - 2\/3*r**4 - 4*r. Determine c(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 1\/2  (c) -137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137843 is divided by 10600?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 4*t - 770. Calculate the greatest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**3*s**2 + 286*c**3*s - 2*c**3 - 2*c**2*s**2 - 2*c**2*s + 15645*c**2 + s**2 + 2 wrt c.\nAnswer: -12*s**2 + 1716*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0558273 and 95697.\nAnswer: 95696.9441727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*x = -2*k + 12, -5*x = -3*k + 11. Suppose -5*o + k*h - 31652494 = -7837498, o = 4*h - 4762992. Round o to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -7360*n + 22104. Calculate h(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7287865 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 8) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 2*m**2 + 0*m**2 - m**2. Let t = 8 + -9. Give d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 96 and 7.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -48 (base 9) to base 4\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 700275800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1568 - 714. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 58337 + -34095. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -397\/4 + 100. Let u = 0.2 + -0.6. Which is the closest to -1\/2?  (a) x  (b) u  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-36)\/(-45))\/(4\/30). Let o = i + -8. Let t(f) = 3*f + 1. Let a be t(o). What is the smallest value in a, 0.2, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*w + 15 = 86*w. Let j(b) = 3*b + 5. Let h(u) = -5*u - 8. What is w*h(a) - 8*j(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 2:29 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/26197 and -9\/335.\nAnswer: 130985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 - 3*z**2 + 3. Let w(i) = -i. Suppose 4*v + 14 - 2 = 0. Let x be w(v). What is the remainder when h(x) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -4*b - 3*i + 13780, -4*i = 4*b - 13784. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k + 7. Let b be o(5). Suppose -4*x - b = -3*s, -15 = -3*s + 5*x + 5. Let u = s - 17. Let c(f) = -f + 6. Calculate c(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2812 and 20?\nAnswer: 14060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 6786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -717*z**2 + 327*z**2 - 6439 + z + 182*z**2 - 835*z**2 wrt z?\nAnswer: -2086*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*s**3 - 135*s**2 - 480*s - 460 = 0. Calculate s.\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 21 = 6. Suppose -2*i = -5*i - h. Let y(a) = -a + 4. Is y(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*k**2 - 10*k + 34*k**2 + 14*k + 22*k**2 + 6*k in the form z*k + y + h*k**2 and give h.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 4*w**2 + 2*w - 1. Let r be l(-3). Let c be r\/(-4)*(12 + -506). What is the first derivative of -4 - 4 - 20 + 279*k**4 - c*k**4 wrt k?\nAnswer: 128*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 187464706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1154723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2129 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*p + 10*p = 0. Let j be 1 - (3 - (p + 6)). Solve -2*u = j + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -u - 8. Suppose 3*y = -3*l + 6, 5*y + l - 3 = 3. What is the highest common factor of y and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or 0.054?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 86, 383, 890, 1613, 2558, 3731, 5138, 6785?\n\"Answer: x**3 + 99*x**2 - 7*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2554 divide 78744928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40954 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 816 - 711. What is the greatest common divisor of 45 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 5, h = -10*r - 140 + 188. Suppose 28 = -g + 2*g. Let l be h\/2 + g + -11. Sort 2, l, 5 in ascending order.\nAnswer: 2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 46385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z**2 + 0*z**2 - 388*z + 379*z + 29 - z**2 to k + q*z + s*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -120431.7 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11, 2, 964?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/2)*h)**(-2\/21))**4*(h**(-1))**32\/(h**1)**33 assuming h is positive.\nAnswer: h**(-1369\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(704) + -4)**2.\nAnswer: 16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-2)\/(-15) + 127\/60?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1072 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-151 - -48) + 37 - -52) + 52 + -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 0 = -6. Let i be q*(1 + (4 - 4)). Let d be (30\/5)\/(i - -3). Solve 4*v - j = -d*j - 26, -3*j - 34 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110 + 11110100001000?\nAnswer: 11110100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of 0*r**2 + 3\/5*r**5 + r**3 - 3\/2*r**4 + 0*r + 5. Factor d(z).\nAnswer: 3*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**5\/5 - 559*j**4 + 825029*j**3\/5 + 2491847*j**2\/5 + 2497432*j\/5 + 833408\/5 = 0. What is j?\nAnswer: -3064, -1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 5) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 791 (base 13) in base 16?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -523 + 522. Let f(l) = -l**3 - l**2 + 1. Let k be f(-1). Let g be 5\/9*2\/(-5). What is the nearest to o in 0.4, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -530*f - 29. Determine j(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -4. Suppose -5*n - 23 = -3*g - 9, -4*n + 5 = 3*g. Which is the biggest value?  (a) x  (b) -0.1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14.7 - 14.5. Suppose -4*h = -6*h. Which is the closest to 3?  (a) h  (b) -1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/15?  (a) 2  (b) 1  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 104 = 4*l, -3*l - 4*v = -0*l - 59. Find the second derivative of 13*k - 31*k**5 + 20*k**5 + l*k**5 wrt k.\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -530330 (base 9) in base 16?\nAnswer: -4cf3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + -6 + (-6)\/(-6). Let m = k + 7. Find the second derivative of 3*c**m + 0*c + 2*c**3 + 3*c wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y**(2\/25)\/y)\/((y*y\/y**2)\/y))\/((y**4\/y)\/((y\/y**(-1\/5))\/y)))**(-36))**(1\/4) assuming y is positive.\nAnswer: y**(612\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 46.8541192 to two decimal places.\nAnswer: 46.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-28*(-22)\/(-462))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 7*q - 3*v + 8490 = 0, -4*q - 4*v = -33928. What are the prime factors of q?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -13 - (19 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2183922 to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**2\/3 + 4636*i\/3 - 10850 = 0. What is i?\nAnswer: -2325, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35832463?\nAnswer: 751, 47713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603112273?\nAnswer: 5153, 117041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 - 5*y - 13. Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 21911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4387886823 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1*(-5 + 12 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -3. Let r = 2 - d. Suppose 6 = 2*c - r. Solve -17 = c*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*b + 2*g + 87 = 315, 24 = -8*g for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6525)\/82215)\/(15\/(-42))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.9081 at most -3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u**2 - 8 - 1 - 8*u + u**3 - 6*u**2 - 7*u**2. Let t be w(9). Is -7 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(175) + (2 + sqrt(175))**2 + 0 - (-2 + sqrt(175) + -3)**2.\nAnswer: -21 + 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 a factor of 5055976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4565, 4567, 4569, 4571, 4573, 4575?\n\"Answer: 2*h + 4563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43013497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.193121 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 104 = -9*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**4\/v**2*(v*(v\/v**(2\/5))\/v)**(-14)*((v*v**(-5\/3)*v)\/v**(-1\/5))\/(v**(-4)*v*((v\/(v*v*v\/(v\/(v*v**0))*v))\/v)\/v) assuming v is positive.\nAnswer: v**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + o - 22. Let c(g) = -23*g + 7. Let t be c(5). What is the least common multiple of (-6)\/(-30) + t\/(-10) and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7959 - -4?\nAnswer: -7955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353*a - 150*a + 4242 = 103*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (47 - 84)) + (2 - 12 - 0).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/3 + (-2266)\/(-6). Let b(q) = -4*q - 4. Let i be b(-2). Suppose 111 - 17 = o - g, i*o - u = 5*g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 + 2*v - 15. What is the tens digit of n(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 - 51*p - 269. Give t(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - -2 - 187\/2. Let w = 110 + x. Suppose -6*n**2 + w*n**3 + 3\/2 - 9\/4*n + 15\/4*n**5 - 27\/2*n**4 = 0. Calculate n.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 110305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1932)\/(-115) + (-2)\/(-10). Solve -c + 5*c = 3*d + 23, 3*d = c - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/35)\/(72\/2280) - 5. Which is the third biggest value?  (a) 0  (b) f  (c) 1\/3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10952*w - 5476*w - 5476*w + 475*w**2.\nAnswer: 475*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**5\/i*i\/i**(1\/3)*i\/i**(1\/2)*i\/(i*i\/((i\/(i\/i**(-7)))\/i)) assuming i is positive.\nAnswer: i**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/25)*k*k*k)\/((k\/(k**(-7)*k))\/k))\/(k**(2\/19)*k**(-2)*k*k)*(k*k**(-1))**(-5)\/((k**(2\/13)*k)\/(k*k\/(k**(-8)*k))) assuming k is positive.\nAnswer: k**(29769\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1824 + 12.8176. Which is bigger: c or -34?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*p**5 - 218920*p**4 - 1094475*p**3 = 0. What is p?\nAnswer: -43779, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0284 - 0.3284. Which is the third biggest value?  (a) n  (b) -11  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**2 - 5*h + 2. What is the remainder when 27 is divided by f(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 13*n**2 + 3*n - 25. Let k be s(13). Suppose -k*r + 496 = -12*r. Is 33 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23556, 43678, 63800, 83922, 104044?\nAnswer: 124166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*x + 8*x + 576 = 39*x - 5*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -335 + 335. Suppose j = i + 352 - 353. Let u(x) = -5*x**3 + x**2 - 2*x + 1. Calculate u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55819?\nAnswer: 55819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 3, -5, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2205777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -50172, -50173, -50182, -50205, -50248, -50317, -50418, -50557?\n\"Answer: -y**3 + 2*y**2 - 50173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**(-7)\/b)\/b)\/b)\/b*b\/b**(2\/29))\/(b**9*b\/(b*b\/b**(-7))) assuming b is positive.\nAnswer: b**(-321\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1293 - -1293. What is the closest to i in -0.07, 5, -2\/19, 10?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -88, -298, -718, -1420, -2476?\nAnswer: -3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 143*-55.56747\nAnswer: -7946.14821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(0 + 1 + (sqrt(2299)*-1 + sqrt(2299))*3*6))**2 + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of 0*t - 1\/4*t**4 - 9*t**2 - 5\/3*t**3 + 0. Let f(p) = 5*p + 10. Let n(o) = -7*f(o) - 6*k(o). Calculate n(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i + 19. Let j be q(-5). Put j, 0, 1, -5 in descending order.\nAnswer: j, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22741.3537 + -22742. What is s rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*74695352.\nAnswer: -298781408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 30814 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - (-36)\/5)*(-920)\/(-138). What is the highest common divisor of 186 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, 20, 16.69, -0.2, -3\/5, -2\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 972 + -125. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13 and -662.\nAnswer: 8606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*a - 36*a - 154 = 2*r, -100 + 255 = -56*a + 18*a + 25*a - r for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2222005 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 5 + 1236\/(-306). Let i(h) = -h**2 + 9*h - 1. Let s be i(9). Is s at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -7*b + 7. Suppose 4 + b = 3*w. Solve 4*m - 3*s + 13 = -4*s, w*m + 2*s + 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 81408672 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 50*i - 19*i + 60*i - 284830. List the prime factors of i.\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -158538, -158536, -158534, -158532, -158530, -158528?\n\"Answer: 2*c - 158540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**3\/6 - 3*j**2\/2 + 2*j. Let d be (-8)\/10 + (-343)\/(-35). Let l(z) = -10 + 1 - z + 1 + d. Calculate 3*l(v) + s(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -35*g**2 + 144*g - 395. Give t(9).\nAnswer: -1934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*a**3*f**2*k**2 - 5*a**3*f + a**2*k**2 - 70*a**2*k - 2*f**2*k**2 - 1176*f**2*k + f*k**2 wrt f.\nAnswer: 38*a**3*k**2 - 4*k**2 - 2352*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -144.074 + -16537.9\nAnswer: -16681.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-2)*w)\/w**(3\/7)*((w*w\/w**8)\/w)\/w*w*w\/(w**8*w) assuming w is positive.\nAnswer: w**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + 15. Suppose p = -a - 484. Let u = -314 - p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 6 - (-9 + -6 + 9)) + 39 + 41?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0196 + 5.\nAnswer: 5.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -279*j = -154*j - 174*j + 2205. Factor -45\/2*m - 5\/2*m**2 - j.\nAnswer: -5*(m + 3)*(m + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 157 - 143. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6424*j**5 - 3762*j**2 + 4*j wrt j.\nAnswer: -385440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 134222 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 0*a + 2. What is the tens digit of 25 - a\/(-2)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in 0.2, -1, -2\/3, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 - -6 - 8)\/(-2). Let y be 0\/(-2 - (s - 4)). Are y and -2\/41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -138 > 733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -210, -188, -144, -72, 34, 180?\n\"Answer: j**3 + 5*j**2 - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 6:06 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2360873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-33)*(255\/(-80) - (-3)\/16)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**3 + 11*n**2 + 9*n + 24. What is i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 6. Let b be k(-3). Let o(l) = l - 11. Let t be o(5). Does 12 divide 5 + t - -8*b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -103, 41, 2, 1, 0, -5 in descending order.\nAnswer: 41, 2, 1, 0, -5, -8, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 5*d + 2, d + 0 = -i + 6. Suppose 0 = i*u + 3*t - 811, -t - 479 = -3*u + 139. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 8*d - 14. Let w(s) = s**2 + s - 4. Calculate j(f) - 3*w(f).\nAnswer: -2*f**2 + 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 3825*r + 53078. Give s(-14).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + -9 + 8 + (7 + -11 - 19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - 2 - (-6 - (-3 - 0)). Solve 13 + a = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2944 - 2854 - (154 - -2).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -30\/7*c**3 + 27\/7 + 1\/7*c**4 - 82\/7*c + 12*c**2 = 0.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 318 = -f - 2*f, -109 = -p - 2*f. What is the second derivative of -w**5 + 170*w - p*w**2 - 108*w**2 + 211*w**2 - w**5 - 10*w**3 wrt w?\nAnswer: -40*w**3 - 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 310077370 divided by 5\nAnswer: 62015474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -28, 1457.\nAnswer: -28, -11, 1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 - -52 - (-236)\/18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3\/5 + 4664*q**2\/5 + 27876*q\/5 + 8352.\nAnswer: 4*(q + 3)**2*(q + 1160)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a1 - 18?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 911 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1650 - -5?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 139854 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 247\/216 + 4\/27. Find the common denominator of z and -61\/5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -170*m**2 - 211*m**2 + 202*m**2 - 134*m**2.\nAnswer: -313*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 281144 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + -3 + (sqrt(637) + (2*(4 + sqrt(637)) - sqrt(637)))**2 + -1 + sqrt(637)*2 + 2).\nAnswer: 952*sqrt(13) + 10456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c**2 - 284*c + 2*c**2 + 299*c + 1. What is the units digit of x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14274*j**3 - 28791*j**3 + 14309*j**3.\nAnswer: -208*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 3:09 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.5 + -2. Suppose 2*k + 1 = -2*v - 3, -3*v + 3*k = 12. What is the second biggest value in w, v, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (33\/(-8)*2)\/((-114)\/(-304))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -425608 divided by -3\nAnswer: 425608\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 143*g - 81*g + 490*g in the form y + o*g and give o.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -556 = 62*x - 18*x - 1392. Solve -b = -4*o - x, 3*b - 4*o = -2*b - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 813257597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 4*w**2 + 7*w + 1. Let v be z(-5). Let o(f) = -5*f - 11. What is the tens digit of o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*v - 76\/3 - 2\/3*v**2.\nAnswer: -2*(v - 19)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 978821820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -15, -1, 4, 2 in increasing order.\nAnswer: -15, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -r**6\/30 - 19*r**4\/4 + 68*r - 77. Let f(q) be the first derivative of n(q). Find the third derivative of f(o) wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.104977 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -41 by 4.\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10850400\/383 + -28330. Let y = 5532\/6511 - i. What is the common denominator of 87\/10 and y?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -41519\/6 - -6903. Let s be 210\/(-132)*(-2)\/110. Let q = s + -3793\/1452. Calculate the common denominator of q and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1297689\/46 - 28212. Calculate the common denominator of 10 + (-1488)\/150 + (-2504)\/50 and p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26838 - 18.2?\nAnswer: 26819.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 195172229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -2*n - 5200. Let y be 2*3\/2 + n\/13. What is the units digit of 12 + -15 - (1 + 0)*y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l + 13. Let q be x(11). Suppose -2*j = q*j - 12. What is the lowest common multiple of j and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 52a2012?\nAnswer: 52a2017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*b - 6390 - 367 = 0, 2*v - 6761 = b. Is 49 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(77) + sqrt(77))*-2*-4)\/(1*sqrt(1100) - (sqrt(11) + sqrt(1100)*-1 + sqrt(1100) - sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, z: 11}. Give prob of picking 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 17*q - 320. Determine m(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 608 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -114011 (base 5) in base 6?\nAnswer: -31412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11032810.\nAnswer: 2, 5, 1103281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 28\/4395 or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7131024 millilitres to litres.\nAnswer: 0.0007131024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 3*w + 33 = 0, -n + 7 + 10 = -4*w. Suppose -3*l = u - n, 6*l = -4*u + 10*l + 84. Solve -3*k + u = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 34*l**2 + 67*l - 35. What is i(-32)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -1223?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -7*q**2 + 2. Let f(i) = 22*i**2 - 7. Let l = 285 - 292. Calculate l*h(v) - 2*f(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 58 - 77. Suppose t*m - 60 = 13*m. Suppose -2*a = -2*q + 2, m*a - 5*a = 10. Solve 1 = k + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 138 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 378 divided by -378.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*b + 925 = 3928. Calculate the greatest common factor of 2743 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6838 * 4.\nAnswer: 27352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 81 = -16. Let y = -78 - -68. Is y\/(-8)*3068\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cocooco. What is prob of picking 2 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 4*f = -24. Let i be (4\/10)\/(f\/20). Factor -3\/5*y**i - 4\/5*y + 0*y**2 + 0 + 7\/5*y**3.\nAnswer: -y*(y - 2)*(y - 1)*(3*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of -7*v**4\/24 + v**3\/3 - 26*v**2 + 1. Let o be a(0). Put o, -4, -19 in descending order.\nAnswer: o, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 409, 1649, 3707, 6577, 10253, 14729, 19999, 26057?\n\"Answer: -b**3 + 415*b**2 + 2*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.7 times -2113?\nAnswer: 5705.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -127252 divided by 4.\nAnswer: -31813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2 = -2. Suppose 0 = 2*s - 72 + g. Calculate the remainder when s is divided by 3\/(27\/12 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 69740.51 decades?\nAnswer: 6974.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0843391 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13506431 rounded to the nearest 10000?\nAnswer: 13510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2422450, -2422461, -2422472, -2422483, -2422494, -2422505?\nAnswer: -2422516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h. Let x(s) be the first derivative of -45*s**3 - 53. Calculate r(x(m)).\nAnswer: 135*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*z + 203 + 633 = 7876. Calculate the remainder when 1649 is divided by z.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -548, -45, 0, 1 in ascending order.\nAnswer: -548, -45, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29155284\/155 or 188098?\nAnswer: 29155284\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*f + 480*n - 482*n = -398, 2*f - 4 = 4*n for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16620 and 16620.\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2513579254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(32) + (sqrt(12)*-1)\/sqrt(6) + sqrt(128)\/sqrt(4)*4)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 11, 1, -13?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + -1 + (-16)\/2. Let k(j) = 5 + 7 - 4 - 2 - 6*j**2 - j**3 + 8*j. Determine k(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of x**4\/12 + 4*x**3\/3 + 7*x**2\/2 + 55*x. Let b be p(-11). Calculate the greatest common factor of b and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-13)\/(-15) + -1 + (-372)\/(-90). Suppose 5*d + y + 1 = 0. Which is greater: -3\/7 or d?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**2. Let q be b(1). Let h = q - 0. Solve 0*f + h*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2099.72 - 2099.8. Let t be (-15)\/18 + 2\/4. Which is the smallest value?  (a) f  (b) -6  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1868 is divided by 1861.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 49 + -37. What is the remainder when 20 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2176 divide 2662442375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*i**2\/3 - 500*i\/3 = 0 for i.\nAnswer: -100\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*3*760\/1824?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -861088 times 88?\nAnswer: -75775744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2\/7*f**3 + 40\/7*f + 0 - 18\/7*f**2 = 0.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, k: 6, b: 3, w: 1, y: 2, o: 2}. What is prob of picking 1 o, 2 b, and 1 v?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h. Let z(b) be the second derivative of 0*b**2 + b + 27\/2*b**3 - 19. Determine z(t(w)).\nAnswer: -162*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -4, -53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express t**4 - 6 + 2*t**3 - 2*t**3 - 3*t + 0 in the form v*t**3 + w*t**4 + g + c*t**2 + d*t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.64586 grams in milligrams?\nAnswer: 72645.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/3575*-25*-1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5580, 5679, 5778, 5877, 5976, 6075?\n\"Answer: 99*r + 5481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3471835853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14687 - 10335. Determine i, given that -531 + b*i - 12828*i**3 + 5155 + 12832*i**3 - 268*i**2 = 0.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3\/2, 3\/5, -39?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -783 - -1275. Let k = q + -491.9. Let g = -2 - -1. Which is the nearest to k?  (a) 1\/4  (b) -1\/9  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**4*s + 6*g**4 + g**3*s**3 - g**2*s**3 + 5*g**2*s**2 - 7*g*s**3 wrt g?\nAnswer: 48*g*s + 144*g + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9824 and 307?\nAnswer: 9824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**8\/336 + 31*i**5\/60 + i**4\/8 - 37*i**3\/2 - 2*i**2 - 88. Find the second derivative of m(s) wrt s.\nAnswer: 20*s**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**2 - 79*c - 34284. Give b(152).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1456 divided by -182\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) 25  (b) -3  (c) -4  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**12\/(((k*k\/(k\/(k*k\/(((k\/k**(-4\/11)*k)\/k)\/k)*k)))\/k)\/k) assuming k is positive.\nAnswer: k**(114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 3*d**2 + 7*d - 5. Let k(q) = q**2 - q. Let m(c) = -k(c) + t(c). Let n(b) = 2*b**2 + 7*b - 4. What is 5*m(x) - 6*n(x)?\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4 or -92?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a factor of 928278008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - 27258a?\nAnswer: -272594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2620687, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005319 rounded to 5 decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 13741.0190847 and -8.\nAnswer: 13733.0190847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 94055063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2562 by 6.\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -0.16, 0.2, 0.15 in increasing order.\nAnswer: -0.2, -0.16, 0.15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2394 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -47328 at least -47329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 10*r**2 + 21*r - 12. Let k be (-2)\/11 - 1008\/(-99). What are the prime factors of u(k)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -7*b**2 + 93*b - 268. Calculate v(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -244*i + 240*i + 5*t = -47, -3*i = 2*t + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 0*o + 5*o + 3*o - 5*o. Let u(a) = -1. Let z(t) be the second derivative of t**4\/12 + 3*t**2\/2 + t. Let x(f) = 3*u(f) + z(f). What is x(p(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 26. Let q be f(-6). Suppose 2 - q = 4*s. Sort 2\/3, -0.2, s, 1\/2 in decreasing order.\nAnswer: 2\/3, 1\/2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 240478.9 nanograms to grams.\nAnswer: 0.0002404789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 2, 3*q - 4*x = -0*x + 122. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1135748 and -3344.\nAnswer: -1139092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k + 42 = 2*h, k + 32 = 2*h - 0*k. Let j = 11 + 18. Suppose 5*s = 6*s - j. What is the remainder when s is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 3 + (7 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + -19 + 4 - 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = -40*r + 240. Solve -4*q + n + 23 = 0, -7*n = r*q - 10*n - 34 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 3:02 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 11*q**2. Let f(l) = l - 2. Let b(a) = 18*a - 48. Let y(v) = b(v) - 24*f(v). What is y(u(z))?\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 73*w**2 + 73*w - 106. Let r be z(72). Let g(t) = -6*t - 12. Let y(a) = a + 2. What is r*y(c) - 6*g(c)?\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 2*m - 2*m**3)*(-m**2 + 14*m**2 + 3*m**2) - 14*m**5 - 10*m**5 + 2*m**5 + (3*m + 0*m - 5*m)*(-m**4 + 4*m**4 - 5*m**4).\nAnswer: -50*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 9*k = -3. Is 13 a factor of 45 - ((1 - k) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 0.2, -14, 13, -0.6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 62 = -2*c - g, 0 = -3*c + 5*g + 93. Let f = c + -12. Suppose 0 = 3*i - h - f, i + 5*h - 6 = -21. Solve -j - i = -0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*j + 0*j - j)*(-2*j + 2 - 2) + 6*j**2 - 6*j**2 - 33*j**2 to the form x + c*j + w*j**2 and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1741209150 to the nearest 100000.\nAnswer: 1741200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {s: 7, k: 1, e: 4, n: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(6\/15*(-30)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -2.8  (c) -4  (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4454 - 4459. Let c(y) = -23*y**2 - 5*y - 1. Let r(q) = 11*q**2 + 2*q. What is d*r(i) - 2*c(i)?\nAnswer: -9*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1150)\/75*3\/(-2). Let p(x) = 13*x**3 - 8*x**2 - i*x**3 + x + 2 + 9*x**3. Calculate p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 412 (base 16) to base 5.\nAnswer: 13132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.165914ml in litres?\nAnswer: 0.005165914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*h = 1662 + 188, -5*h - 15 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 10. Let m(r) = -r + 540*r**2 + 14 - r**3 - 13 - 539*r**l. Let b(d) = 7*d**3 - 6*d**2 + 6*d - 10. Give -b(h) - 6*m(h).\nAnswer: -h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/65446100 and -19\/320500.\nAnswer: 327230500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -488 - -491. Solve j*q + 12 = 5*y, -11 = -3*y + 4*q + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36421312 + -19162751. Let p = q + -17258560.93000129. Let d = p - 0.07. Round d to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of -f**5\/20 + f**4\/12 + 5*f**3\/6 - f**2\/2 - 2079*f - 3. Calculate w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 40*s - 176 = -26*s, -5*p + 4*s - 18 = -54 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 534702472?\nAnswer: 2, 66837809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3312 + 354?\nAnswer: -2514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/(-42))\/(5 + (-190)\/35). Let m = 11\/18 - p. Which is the closest to -0.2?  (a) 4  (b) -0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 658 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 55261*g**4 - 3*g - 1182180 wrt g?\nAnswer: 221044*g**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5084.993 micrograms in grams?\nAnswer: 0.005084993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 198005757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/11 - 1574*g**2\/11 - 1552*g.\nAnswer: -2*g*(g + 11)*(g + 776)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 83 + (-5)\/(15\/9). What is the common denominator of (((-8)\/(-18))\/(-2))\/(q\/(-3210)) and (3\/(-4))\/(60\/(-88))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 9 = -3*p, -5*p + 62*a - 58*a + 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 396601658*c*u + c - 2*u - 61743609 wrt u?\nAnswer: 396601658*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 613970 and 6.\nAnswer: 1841910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -690*f + 690*f - 7 + 6 + 1 - 32*f**2.\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kyxn when four letters picked without replacement from {k: 2, n: 2, y: 4, x: 2}.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 + 11. Let y = -8 - o. Suppose -3*t + y = -12. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 67\/((-5)\/(-10)*2\/(-1)). Let j = b + 234. List the prime factors of j.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 5*y**2 + 4. Let n be r(6). Let v = 36 + n. Let o be (3 - -13)\/(-4) + v. Solve o = -4*m - 1 - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s + 1\/2 + 7\/2*s**2.\nAnswer: (s + 1)*(7*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/(-4))\/((-2)\/8). Calculate the common denominator of 61\/16 and (-2)\/(-4) - 32\/s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 924384359, 924384364, 924384371, 924384380?\n\"Answer: v**2 + 2*v + 924384356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.57831 + 3.58. What is g rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -4*g - 3*b, 4*g + 4*b = 14 - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-45)\/(-20) + (-15)\/(-20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n + 1. What is the remainder when 17 is divided by x(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -1631*c + 150049. What is m(92)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4077045*b**3\/2 + 52983525*b**2\/2 + 117380*b + 130.\nAnswer: -5*(b - 13)*(903*b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 6 = 2*u, -3*h = -12 + 21 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10898 is divided by 99.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/13)\/(-2 + (-4 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 308\/3 + 307\/3*b - 1\/3*b**2.\nAnswer: -(b - 308)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663952 to the power of 1\/2, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 13) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -19. Let a = v - -18. Suppose 2*g - 4*g + 8 = 0. What is the remainder when a is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1712*w + 3*b = -1708*w + 28, 4*w + 2*b + 58 = -w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -14. Let x = -1 - -0.8. Let k be (-18)\/(-40) - (-7)\/(-35). Which is the closest to -2?  (a) x  (b) h  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = s - 49, j - 932 = 2*s. Is j a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = -3*a + 68, -59*a + 73*a + 17*a - 672 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*h + 53 = 193 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01 and -7.185?\nAnswer: -0.07185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (219324\/7)\/((-3)\/(-2)). Let s = -3843377\/184 + z. Let h = 1\/23 + s. Find the common denominator of h and 65\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/1454?  (a) 0.3  (b) 5  (c) 0.5  (d) 1\/377\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-754)\/203 - (-20)\/28. Let n(k) = -21*k**2 + 9*k. Let x(t) = 11*t**2 - 4*t. Give f*n(r) - 7*x(r).\nAnswer: -14*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1298*n**5 + 73*n**2 - 84*n**2 + 813*n + 10*n**2 wrt n.\nAnswer: -77880*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9418 - 37673\/4. Which is the second smallest value?  (a) 18  (b) x  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, i: 11}. What is prob of picking 2 i?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 + 8*n - 6. What is r(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8064) - 1*sqrt(8064))\/(sqrt(512)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(3\/2)*t*t)\/t)**18 assuming t is positive.\nAnswer: t**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -3*k + 5*g, k + 3*g + 5 + 8 = 0. Let h be ((-7)\/4)\/(4\/(-16)). Sort h, k, -1 in increasing order.\nAnswer: -1, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = h - 5, -2*i - 2*h = -8. Is i at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (210\/294)\/(42\/(-4410)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 192.37 + -1984.07. What is k rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 4*y - 13. Let j be b(14). Let i = 162 + j. Let q = 154 + i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 10*r**2 + 5*r. Suppose -1023 + 911 = 16*i. Let c(k) = 21*k**2 + 9*k. Calculate i*g(u) + 4*c(u).\nAnswer: 14*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203996?\nAnswer: 2, 13, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + q + 13. Let p be ((-2)\/4)\/((-2)\/12). Let d be 0*((-28)\/8 + p). Determine j(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33715?\nAnswer: 5, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -1\/7, 1, 0.0094694?\nAnswer: 0.0094694","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 3*o**2 - 2577*o + 362136. Determine x(682).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 9684.031 to the nearest ten.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 5*x = 5*s - 3705, -3*x + 3695 = 5*s. Suppose b = 4*v + s, 10*b - 13*b + 2278 = 2*v. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1422.863456 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3749 is divided by 736?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 531 and 413?\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 961 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -227?  (a) -17  (b) -88  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 11*v**2 + 16*v - 48. Give f(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*q**4 - 4*q**4 + 2*q**4 + 2*q**5 + (0 - 2*q**4 + 0)*(-q - 3*q + 0*q).\nAnswer: 10*q**5 + 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/3464 and -47\/5196?\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, -1, 135\/7, 51, 3\/2, -2?\nAnswer: 135\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13562\/5 + -243491\/90. Let a = 23291 - 29020589\/1246. Let c = a + -23972\/5607. Find the common denominator of c and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 603 - -5?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Suppose -6*m + 2*m = -28. Let j = m - c. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 6 - 2)*(o - 3 + 3) as s*o + n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - -17. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -762, -6137, -20728, -49143, -95990?\nAnswer: -165877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2963241 divided by 71\nAnswer: 2963241\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 81749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -100*(-25)\/(250\/(-4)). What is the nearest to 0.1 in p, 2\/11, -2, -0.34?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 42*w. Let k(p) = 5*p**2 - 6*p. Let c(l) = -11*l**2 + 13*l. Let y(m) = -6*c(m) - 13*k(m). Determine y(v(r)).\nAnswer: 1764*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27 and 446178.\nAnswer: 4015602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 196 - 173. Let h = -27 + l. Let o(u) be the first derivative of u**2 + u - 2. Calculate o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-5 + -1*sqrt(72) + -3)**2.\nAnswer: -408 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -8*a**3 + 6*a + 17. Let u(s) = 7*s**3 - 5*s - 17. Calculate 5*p(q) + 6*u(q).\nAnswer: 2*q**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30189838*z**2 - z**3 - 30189838*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2592)\/sqrt(4) - sqrt(80)\/(-4*sqrt(10)))\/(3*-1*sqrt(64)*-4).\nAnswer: 37*sqrt(2)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -1, -3, -0.22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 618720 and 4?\nAnswer: 2474880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 8:05 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(220) - sqrt(220))\/sqrt(11)*-5)\/(4*sqrt(360)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198*p - 28 = 194*p. Solve 1 + p = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o - 1. Let c(m) = 4*m - 6. Let f(t) = -c(t) + 3*r(t). Let k be f(0). Suppose 16*s - 14 - 66 = 0. Solve -2*u + k = -s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 + c + 2. Let n = 41 + -70. Let i = n - -27. Let a be z(i). Solve r - y + a = -3*r, 0 = 2*r + 5*y + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -8*h + h + 3*h + h - 2*h. Let f(t) = -t. Let s(p) = -18*p. Let y(i) = 63*f(i) - 3*s(i). Give y(z(u)).\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 200153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -515597, -1031100, -1546501, -2061800, -2576997, -3092092, -3607085?\nAnswer: -4121976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 220132 (base 4) in base 7?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 55*o**2 - 3*o + 2. Let m(k) = -43*k**2 + 2*k - 2. Let w(x) = -5*m(x) - 4*u(x). Determine w(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 j when three letters picked without replacement from {j: 4, h: 2, r: 1, b: 6, q: 2, k: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 881957 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 + 9 - (72 + -20)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from wjjrjwjhwjhrjjhrfj?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5840356158 - 8246.2\nAnswer: -5840364404.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.383 and 0.02.\nAnswer: -0.02766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*g - 58*g = -93. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112) - 1*sqrt(112) - sqrt(112)) + -2)**2 + -1.\nAnswer: 16*sqrt(7) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -574\/95017 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.1 + -5.1. Let j(i) = -3*i + 3. Let m be j(2). Let f = m + 3. What is the third biggest value in d, f, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (2 + 2 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (((-73755)\/168)\/(-55) - 2).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 + -15. Let c(t) = -6*t + 84. Let v be c(13). What is the greatest common factor of u and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-9 + 28 - (4 - (2 + -3))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -97.04 + -53.87. Let z = -150 - r. Let m = z - -0.09. Which is the second biggest value?  (a) 5  (b) m  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.17 in -0.09, 2\/3, 69, 5, 24?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.3  (b) -3  (c) 0.121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 7:26 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h + 14, -11*a + 3*h - 6 = -14*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 235572 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 1\/4 = -1112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 5:05 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**3 - 15*q**2 + 24*q - 104. Is l(7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, x: 3, u: 1, z: 2}. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 8*d + 546 = 0. What are the prime factors of d?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 19*w**2 - 1219*w + 98. Calculate z(64).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2119 and 2407999?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 6) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 5  (c) 0.07  (d) 31\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 14 - 13 - 660*f - 53*f.\nAnswer: -713*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u - 2*u**2 + 4*u**2 + 1 + 6*u**3 + 2*u**2 + 3*u as i*u**2 + s + b*u + x*u**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35 - -42. What is the remainder when 164 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - -146 - (0 + 1). Suppose -6*s = -s + r. Let f = s - -55. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57 + -50. Is 41\/6 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/11)*c*c*c*c**7\/c*c*(c**(3\/4)*c)\/c**0 assuming c is positive.\nAnswer: c**(513\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -5*d**3\/3 - d**2\/2 + 2*d + 614. Determine y(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.06*0.03.\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1882 by 1882.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 36*f**3 - 1 - 74*f**3 + 35*f**3 + 2*f + 2. Determine a(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -161469 + 161469 - 906*f**2 - f**2 + 3*f**2 - f**2 + (2 + 2 - 2)*(-4*f**2 + 2*f**2 + f**2) + 5*f - 5*f + 3*f**2 in the form v + x*f**2 + q*f and give x.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide -4 + 3 - (-1263 + (-9 - -6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -213 + 359. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) -22  (c) 2  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 495 + 18081 = 72*l. What is the remainder when l is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -6, 0.044, 0.054, 3, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -54. Suppose -6*p - 15 = q. Is p at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (50\/4)\/((-396)\/792)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -766*r**3\/7 - 20776*r**2 + 20520*r\/7 = 0.\nAnswer: -190, 0, 54\/383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 + 13*z - 4. Let o be n(-14). Let f(c) = 2*c - 11. Let j be f(o). Solve 6*b + j = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72852 and 28020.\nAnswer: 364260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of l**4\/4 - 4*l**3\/3 - l**2\/2 - 7*l + 9. What is t(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30307, 30305, 30303, 30301?\nAnswer: 30299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 664312694.\nAnswer: 2, 19, 163, 107251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + o - 3*o + 46, -4*k + o = -97. What is the highest common factor of 60 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 - 22. Suppose -184 = -v*g + g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -10. Let b be (i - -4)\/(-1) + -5. Is b\/(-9)*(-747)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/3 + (-50)\/(-6). What is the third derivative of -9*j**2 + x*j**2 - 2*j**2 + 3*j**5 wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97287 is divided by 2779?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 887*l - 4102 - 1220 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*d**4 + d**3 - d**2 + 0*d**2 + 4 + 0 - 7*d**4 + 2*d as n*d + v + z*d**2 + s*d**4 + r*d**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 600.3348 litres in millilitres?\nAnswer: 600334.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 748428620.\nAnswer: 2245285860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + v)*(-5*v + 4*v - 9*v) + (-3*v**2 - 2*v**2 + 3*v**2)*(1 + 0 - 2) + 3*v**2 - 1 + 1.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 854*d + d**3 + 2 + 9*d**2 - 431*d - 431*d in the form t + y*d**2 + j*d + f*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1021*f**5 - 21*f**4 - 377*f**3 + 16258*f**2 - 1131 wrt f.\nAnswer: 61260*f**2 - 504*f - 2262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8.01 - -8. Let q = 0.16 + 2.84. Which is the fourth biggest value?  (a) 0.2  (b) u  (c) 0  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3.0067 times -0.345\nAnswer: 1.0373115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2\/3 - 916*o\/3 - 4480\/3.\nAnswer: -4*(o + 5)*(o + 224)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.23 + 1.27. Let v = -6 + 9. Let s = v + 0. Which is the biggest value?  (a) -2\/7  (b) s  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 5*i**2 - 6*i + 4. Let p be x(6). Let d(n) be the third derivative of n**5\/60 - n**4\/8 + 2*n**3\/3 + n**2. What are the prime factors of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 5 = -3*a + f, 0 = -3*f. List the prime factors of (-2)\/(-2) + a - -27.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 9*v - 16. Let j be k(6). What is the highest common divisor of 8 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u - 29. Calculate s(11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 15, 3*c - 16201 = -4*h + 24819. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -25426*s**2 + 0 + 0 + 25430*s**2. Let h(z) = 102*z. Determine k(h(o)).\nAnswer: 41616*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 6 + 18. Let c(n) = -3*n + 1. Suppose 0*y - a = -4*y - 3, -a + 2 = -3*y. Let t be c(y). Solve d + 5 = -t*q + 21, 2*q - k = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 4:04 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(-1\/8)\/x*x))\/(x\/(x*x*x**(-22\/7))))\/((x**(-2\/37)*x)\/(x*x**(-32)*x)) assuming x is positive.\nAnswer: x**(-66229\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = t - 3, -4*t - 10*q + 12*q + 12 = 0. Suppose 0 = t*f + 2*b - 9, -b - 2*b = -3*f + 9. Solve -f*z = -3 - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6572\/7 - 939. Which is the fourth biggest value?  (a) r  (b) -3  (c) -2\/15  (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -134 - -136. Suppose 6*q - s*f = 9*q - 12, 0 = -3*q + 2*f. Put 6, -1, q in ascending order.\nAnswer: -1, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 9*h**2 + 3*h + 4. Let t be j(8). What are the prime factors of (-13)\/(-1) - t\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1033170000 rounded to the nearest 1000000?\nAnswer: 1033000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0\/(i*i**(-5)\/i)*(i**(-1))**(-7))\/((i**1)**(-29))**(-13\/2) assuming i is positive.\nAnswer: i**(-353\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**5*f\/(f\/(f\/f**(3\/7))*f*f))\/(f\/(f\/(f\/(f**(1\/7)*f)))*(f*f**(-3))\/f*f) assuming f is positive.\nAnswer: f**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5369 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 1\/7, -27\/5, 0.01, 11, -3\/32?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(20) + sqrt(60)\/((sqrt(3) - sqrt(6)\/sqrt(2)) + sqrt(3)))\/(-4*sqrt(16)))**2 + (sqrt(125)*-1 - sqrt(5) - (-4 + sqrt(10)\/sqrt(2)))).\nAnswer: -207\/16 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -44*l + 47*l + 18. Put -5, -4, l in descending order.\nAnswer: -4, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 11731  (c) -59\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 119*s**2 - 463*s - 354. Let r be j(-115). What is the second smallest value in 2, 1\/3, 5, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -6*m - 119. Give w(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*y**3 + 235635 - 33*y**3 - 235635.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 338, 681, 1026, 1373, 1722, 2073?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -g + 5. Let u(l) = l**2 + 2*l - 3. Let r be u(-4). Suppose 0*b + r*b - g = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-6) + ((-1507)\/(-198) - 7)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 101, 157, 215, 281, 361, 461?\n\"Answer: j**3 - 5*j**2 + 64*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9773 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1299 divided by 2\nAnswer: 1299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 126529, 124754, 119941, 110572, 95129, 72094?\nAnswer: 39949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + 19 - 4*v**2 - 5*v.\nAnswer: -4*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 8. Let j = -89 - -136. Let z = f + j. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -37.7 and -0.04.\nAnswer: -37.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 15*x - 19*x. Let g be 1*(-29 - -1) - 1. Let z = x - g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**3 - 1390952*v**2 - 241837869384*v + 1934791977024 = 0. What is v?\nAnswer: -347742, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**3 - 2*u**2 - 2*u - 2. Let x = 149 + -151. Determine t(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 23*m**2 - 2*m - 47. What is d(-23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**3 + 2*a**5 + a**3 - 3*a**3 + 1 + a**5 - 1 + (-2 - a + 2)*(-2*a**2 + 2*a**2 - a**4).\nAnswer: 4*a**5 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -636 - -634. Do 0.227 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -993629985\/2 or -496814992?\nAnswer: -993629985\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5239 nanoseconds in seconds?\nAnswer: 0.0000000025239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 180 - 173. Suppose 724 + 284 = p*c. What is the highest common divisor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(-2 - (0 - 0)). Let c(a) = -22*a - 2. Suppose -23*z + 25*z + 3*n = 56, -96 = -4*z - 2*n. What is the remainder when c(h) is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 * -0.1617\nAnswer: -4.5276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/(-3))\/(1 - -1). Let x be 87\/27 + (-4)\/18. Is (m - x) + -1 - -16 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4624286326 + -0.12.\nAnswer: 4624286325.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c + 11 + 79 = 0. Suppose -5*f = -c*f + 124. Calculate the remainder when 123 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31*k**3*q**3 + 28*k**3*q + 2*k**3 + k*q**4 wrt q?\nAnswer: -186*k**3*q + 12*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/15 - ((-16)\/(-84))\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 + 9. Calculate the highest common divisor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57.148 + -57. Let b = k + -0.095. Round b to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3951328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0044831851 to 6 dps.\nAnswer: -0.004483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 283 + 933 = 0. Let c = u - 43. List the prime factors of c.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 54 = 4*d + 4*v, 2*d - 4*v = 52. Suppose 0 = -2*j + d. What is the lowest common multiple of (12\/(-16))\/(2\/(-32)) and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 5*a - 34, -4*t - 24 - 3 = -3*a. Let k be t\/(0 + 2 + -3). Suppose 55 = k*s - 20. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -34*x - 270. Let j be q(-8). Solve j*k + 7 - 1 = -t, -2*k = -5*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 159636, 158051, 156466, 154881?\n\"Answer: -1585*f + 161221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2762 is divided by 915.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2084417.\nAnswer: 659, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112464745.\nAnswer: 5, 31, 725579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/15 - 512*p\/15 + 2040.\nAnswer: -2*(p - 50)*(p + 306)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 19*y**2 + 30*y - 111. What is f(18)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -78*d**3 - 2*d**2 - 3*d - 2. Let r(k) = 156*k**3 + 4*k**2 + 7*k + 4. What is -3*r(i) - 7*y(i)?\nAnswer: 78*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 801*k - 295*k - 272*k = 296*k + 4526 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 3*c - 142. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -75444.\nAnswer: -5\/37722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 26 + 24*x - 105*x - 27*x + 7. What are the prime factors of z(-3)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -594 + 381. Let s(g) = -g**2 + 16*g + 165. Let h be s(-15). Let o = c - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**(5\/4)\/z*z))\/(z**(-34)*z)*(z**(-1\/24)\/z)\/(((z\/z**(2\/29))\/z)\/z) assuming z is positive.\nAnswer: z**(22813\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 16*q - 20. Let g be s(14). Let m = g - 13. Let d = -485 + 481. Which is greater: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyxyxy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x - x + 0*x)*(1245 + 111 + 4189) to the form f + j*x and give j.\nAnswer: -11090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 7*y - 8 = 0. Sort 3, y, 5 in descending order.\nAnswer: 5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(44)\/sqrt(4) + 0 + (-1*sqrt(704) - sqrt(704)) + sqrt(704) + sqrt(704))**2 + -4*(-2 + sqrt(11) + 2).\nAnswer: -4*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of 5\/3*k**3 + 1\/2*k**2 + 1\/4*k**4 + 3*k + 1. Give j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3188973869 minus 0.21?\nAnswer: 3188973868.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -10*i**3 - 4*i**2 + 5*i. Let p(x) = 11*x**3 + 5*x**2 - 6*x. Let r(d) = d**2 - 24*d - 261. Let s be r(32). Give s*p(h) - 6*f(h).\nAnswer: 5*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -144 (base 7) to base 9.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 16792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c**3 - 7186*c**2 + 14377*c**2 - 7191*c**2.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + (0 + sqrt(3200))**2*-2).\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-86)\/43 - (0 + 0 + -2). Suppose -3*a - 1 = -b, -5*a + 3*a + 3*b - 3 = x. Suppose o + 16 + 7 = a. Round o to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 3*q + 37 = -5*a, 0 = 4*q + 5*a + 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*y + 7*y + 4*b - 2, 2*b = -5*y - 38 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 4 + 1)*(l - 6*l - l) + l - l - 4*l in the form g*l + x and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 26) + 3 + (-4 - 3 - (-2 + -13))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 19 = -59. Suppose -o - 4*i - 3 = 0, 3*o - 47*i + 51*i + 1 = 0. What is the least common multiple of o and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*h + 6*h = 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = 4*r + 10 - 7, 0 = n - r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2261 and 384608.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*p + 126 = -79*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4518693?\nAnswer: 3, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 4:46 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**5 - v**2 + v**2 - 48*v**5 - 32*v**5 + 94*v**5 - 2*v**5 + 6*v**5 + 0*v**5 + (-3*v**5 + 0*v**5 + 2*v**5)*(2 + 0 - 1) - v**5 + 4*v**2 - 4*v**2.\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 215753\/22 - 9811. Find the common denominator of 137\/12 and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1260 and 640?\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 5746.824cm?\nAnswer: 0.05746824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + -295 + 6\/2. Suppose -w - 285 - 50 = 5*c, -2*c + 2*w = 146. Let y = c - r. List the prime factors of y.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -42*h**2 - 2222*h + 214. Give i(-53).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u**2 - 3*u + 1. Let f(g) = -13*g**2 - 13*g + 4. Let d(v) = -2*f(v) + 9*i(v). Let w(c) = -2*c**3 - 4*c**2 - 2*c - 1. Determine 2*d(k) - w(k).\nAnswer: 2*k**3 + 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-660)\/(-18)*(-111)\/185*(-2)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -663 divided by 24259?\nAnswer: -39\/1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*i - 201 = -40*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22076 by 759.\nAnswer: 22076\/759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75902 by 3.\nAnswer: 75902\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 192 = x, -5*x + 4*a + 880 = -66. Let j(s) = 162*s - 1588. Calculate the remainder when x is divided by j(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57620 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -148 from -0.3.\nAnswer: 147.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 84 = 8. Let o be 1 + 5 - (2 - (-4)\/(-2)). Suppose -10*i = -34 - o. Sort i, -4, k in increasing order.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1\/9 + -13\/36. Do 1.2 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -4\/5, 1\/5, 4, 797?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 5 = -1. Let d(t) = 15*t**2 - 7 - 4*t**2 + 7*t - t**3 + a*t**3 + 0*t**3. Let q be d(-10). Solve q - 7 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 + 16*v. Let y be w(9). Suppose o - 18 = -0*o + 2*l, -3*o - 3*l + y = 0. What is the remainder when 26 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 256273 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -46, -57, -68, -79, -90?\n\"Answer: -11*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + 2*f**2 + 3*f)*(-2*f + 2*f + 2*f**2) + 0*f**4 + f**4 + f**4 - 771*f**2 + 771*f**2 + 5*f - 5*f**4.\nAnswer: f**4 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 464 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 19 - r - 159*r**2 + 161*r**2 - 17. Let o(k) = 2*k**2 + 5*k**2 - 4*k**2 + 3. Let l(q) = -5*o(q) + 6*v(q). Determine g, given that l(g) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 126551318*o**3*x**2 + o**2 + 34667*x**2 + 1144 wrt o.\nAnswer: 759307908*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -45*a**2 - 9*a + 16. Let w(l) = 22*l**2 + 5*l - 9. Give -9*w(n) - 5*x(n).\nAnswer: 27*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 9:10 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, j: 5, f: 1, v: 4, o: 2}. Give prob of sequence qf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2. Let m(u) be the second derivative of u**6\/36 - u**3\/2 + 7*u. Let x(h) be the second derivative of m(h). Calculate z(x(w)).\nAnswer: -100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -6096, -13402, -20708, -28014, -35320, -42626?\n\"Answer: -7306*q + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 368359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do 758 and 755 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ouzlabzlllzzbbblluuo. Give prob of sequence lzzb.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -139a - 5b9?\nAnswer: -1975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 592046928 != 592046927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29324 is divided by 3096?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*i + 45*i - 21*i + 22*i.\nAnswer: 78*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7496 + -7502. Let h(p) = -15*p**2 - 13*p + 9. Let a(i) = 7*i**2 + 6*i - 4. Give m*h(u) - 13*a(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -17. Let i be (562\/6)\/1 - p\/24. Suppose -4*c - 14 = -i. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2783*l**5*t**3 - 44*l**3*t**3 + l*t**3 - 10*t**3 - t**2 - 10 wrt l?\nAnswer: 55660*l**3*t**3 - 264*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 28 = 3*a, -q + a - 16 = -2*a. Let f = 1 + q. Let p(w) = -w**3 - 3*w**2 - 2*w + 3. What is the units digit of p(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 divided by -4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 1. Let c = 2.5 + -5. Let r = c + 3. What is the second smallest value in h, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 606 divided by 202\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3997480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 692*x - 75 = 692*x - 3*h, 12*h = -4*x + 292 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 6333*l - 1. Let n(t) = t**2. Calculate n(g(w)).\nAnswer: 40106889*w**2 - 12666*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (56\/5)\/(11\/110)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 28082, 28062, 28042?\n\"Answer: -20*y + 28102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14\/1073 - 41\/5365. Let b = -401 + 401. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 33 = -3. Let g be 8\/(-10) - (-14)\/5. Suppose -d + 360 = d - 4*i, -3*d = g*i - 532. Calculate the remainder when d is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 460 divided by 1380.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*f - 0*f. Let h be 5042\/(-300) + 1\/f. Let l = h - -626\/25. Find the common denominator of -5 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(20\/(-26))*-2. Let m = k - -15. Solve -m*o - 16 = -2*v, 0 = -o - v - 0 - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.1 - -4. Let c = d + 0.9. Let y = c + -0.822. Round y to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7104 a factor of 2523877652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -4*s + 21, -12 = -3*v + s - 31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 200 - 2*k + 1971 + 800.\nAnswer: -2*k + 2971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3385799 + -16014201. Round r to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18268192.8 to the nearest one hundred thousand.\nAnswer: 18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 7:26 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*d)*(-9 + 8*d + 9)*(153 + 46 + 21)*(2 + 1 - 1).\nAnswer: -7040*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -10*i**2. Let u(h) = -149 + 34 + 34 + 43 + 39. Calculate -n(r) - 4*u(r).\nAnswer: 10*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*j - 14. What is the highest common divisor of j and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -2*r + 6, i + 31 = -3*r - 3*i. Let j = -24 + 24. What is the nearest to 0.1 in j, r, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((192\/10)\/4)\/((-189)\/(-1260)). Suppose 5*f - 1202 - 238 = 0. What is the highest common divisor of f and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(2*sqrt(242))*1)\/(6*(sqrt(98) + -2*sqrt(98) - sqrt(98))*1).\nAnswer: -sqrt(5)\/1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11 + -15510?\nAnswer: -15477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 8 = 3*h - 3*n, 2*h - 4 = -2*n. Let o = 13 + -8. Suppose m = -5*y - 3, 2*m - 3*m - y + o = h. What is the least common multiple of m and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -21.8 - -20. Let f = o + 1.91. Let g = 0.01 - f. Put 4, -0.3, g in decreasing order.\nAnswer: 4, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 9*h**5\/5 + 14*h**3\/3 + 25. What is the third derivative of t(g) wrt g?\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 206369511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -170?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75064, -304899, -687950, -1224211, -1913676, -2756339, -3752194, -4901235?\nAnswer: -6203456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74890.\nAnswer: 2, 5, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**2 + 8*l**2 - 16*l + 8*l**3 - 2*l**4 + 6*l - 10*l - 16 + 0*l**4 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 2\/3  (b) -0.01  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/100*15*2\/(-6))\/(57\/(-15))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 4*y - 1698, 2*q = -4*y + 3*q + 1702. Suppose 12*v - 7 = y. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03426 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2811\/51535*40\/(-6))\/((-6)\/22).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 12\/(-4)) + 1. Suppose w + y = -2*y, 3*w + 3*y - n = 0. Solve r - 6*r - 3*x = 10, w*x + 20 = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**3 + 36*z**2 + 19*z - 21. Let a be f(-18). Let s = 1096\/3 + a. Let y = -1 - 0. Sort 0, s, y in descending order.\nAnswer: s, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 + 28*j - 6. Let l be d(-13). Let r be (15 + (1 - 1))\/(l - -33). What is the remainder when 1*-15*r\/(-3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**3*v**2 + 171*c**2*m**2 - 32*c**2*v**2 + 102*c*m**2*v + 2*m**2*v - 137*m*v**2 - 3*v wrt c.\nAnswer: -6*c*v**2 + 342*m**2 - 64*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**35*(d\/d**(-1\/17))\/d assuming d is positive.\nAnswer: d**(596\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + c + c**2)*(-2 + 2 - 2*c**2) + (-3*c**3 + c**3 + 3*c**3)*(-5*c - 10*c + 20*c + 19).\nAnswer: 3*c**4 + 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 10, -38, -6 in decreasing order.\nAnswer: 10, 5, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18206 + -18088.59. Round g to 0 dps.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5\/(-120)*4)\/(5\/(-10)). Which is the third smallest value?  (a) y  (b) -96  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 95919127 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8226942 + 2.\nAnswer: -8226940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -y**2 - 10*y**2 + 3*y**2 + 6*y**2 - 3*y + 7 to the form h*y**2 + z + l*y and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1390, 1391, 1396, 1405, 1418?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 20\/7*t**3 - 2*t**4 + 0*t + 0 - 2\/7*t**5 + 32\/7*t**2 = 0. Calculate t.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*s**5 + 39*s**5 + 0*s - 8*s**5 - 23*s wrt s.\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6685 is divided by 84?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1810776574.7 from 314.\nAnswer: 1810776888.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 11*o + 57, 3 = 13*o - 12*o - 4*s. Let m = -3\/29 + -75\/116. Which is the third smallest value?  (a) m  (b) 39\/7  (c) -0.1  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 295, 289, 281, 271, 259, 245, 229?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -26+0.99589723\nAnswer: -25.00410277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -40111 + 12?\nAnswer: -40044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 106*f**2. Let a(h) be the second derivative of 4*h**3\/3 + 42*h + 2. What is a(n(s))?\nAnswer: 848*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -745118 divided by 11?\nAnswer: -67738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s - 2 - 17*s - 20*s. Let y be l(6). Is (y\/(-16))\/((-2)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 5 = 0, 5*y + 25925 = -6*k + 11*k. Calculate the highest common divisor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 7:12 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 9*z - 2*p + 126 = 0, 0 = -2*z - 5*p + 84. Suppose -9*i - 5*i + z = 0. Solve i*w - t + 8 = 0, -2 = 2*t - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of s**2\/2 - 495. Let d(m) = -548*m**2. What is d(f(h))?\nAnswer: -548*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 502*v**4 + 1526*v**2 wrt v.\nAnswer: 12048*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, g: 9, q: 8}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/3*2\/(((-99)\/6)\/(-1))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 AM and 2:45 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 17*h**2 - 117*h - 966. Calculate s(24).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -333221 (base 4) to base 7.\nAnswer: -14606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3875\/310*8\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2548) + (sqrt(52) - (sqrt(52) + (sqrt(52) + -1)*-6)) - 6*sqrt(520)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: -196*sqrt(13) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 4*a**3\/3 - 24*a**2 - 291*a + 70. Let b(i) = -6*i**2 + 48*i + 292. Let j(h) = -3*b(h) - 4*f(h). Suppose j(q) = 0. What is q?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (24 + 22 - 14)*(3*o - 3*o - 5*o**2) + (-3*o - 2 + 2)*((2 - 1 - 2)*(7*o - 13 + 13) - 3*o - o + 2*o) to z + s*o + p*o**2 and give p.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x + 33. Let y be l(-17). What is the common denominator of -121\/12 and (-313)\/(-30) + y\/3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*f = 276*f - 53*f + 4788 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (8 - -17) + 23\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k + 2*k + 2*k)*(506 - 506 + 9*k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-22)*(-16852)\/7660 + 10\/1?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*x + 49 + 13*x - 49 + 9*x + 8*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 5*f**2 - 125*f + 48. Let j be s(25). Let u be (-3)\/9 + 1515\/9. Calculate the greatest common divisor of u and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -62, -95, -128, -161?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -4*m**2 - 659880*m - 91646036 = 0.\nAnswer: -164831, -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 29206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, -0.9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of -h**4\/4 + h + 9918. Let a(q) = -q**2 - 2*q + 3*q - q. Give b(a(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1170)\/(-1365))\/((-18)\/(-98)). Factor 8 + 10\/3*z**2 - 88\/3*z + b*z**3.\nAnswer: 2*(z - 2)*(z + 3)*(7*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2599 times 0.1?\nAnswer: 259.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 747 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5089*p**2 + 4180*p**2 - 11221*p**2 + 4*p**2 - 2*p**2 + 0*p**2 + (-3*p + 2*p + 3*p)*(0*p + p - 2*p) + 3 - 3 - p**2 + p - p**2 - p.\nAnswer: -1954*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06638506 rounded to 4 dps?\nAnswer: 0.0664","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 12 - (-17 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, -3, 87, -0.5, 0.4, -1\/7?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -28, -14 in descending order.\nAnswer: -4, -14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/4)\/((-38)\/(-456))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 17*j**2 + 4. Let q be a(-17). Find the second derivative of 53*r**q - 17*r - 6*r - 59*r**4 wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of h**5\/20 - h**4\/4 + h**3\/2 + 56*h**2. Find j, given that f(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11212 - 1001101?\nAnswer: -212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of -3*l**5\/5 + l**2\/2 + 4*l. Differentiate o(s) with respect to s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.036436 * 32.\nAnswer: -1.165952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3723.54192 milliseconds in weeks?\nAnswer: 0.00000615665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 16, h: 2}. What is prob of sequence hhgg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1320 and 409560.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-3\/5))\/(l\/l**(-3))*(l**(5\/4)*l*l)\/(l*l**(-4\/3)*l) assuming l is positive.\nAnswer: l**(-61\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of 1\/12*p**5 + 0 + 0*p + 57\/2*p**3 - 2\/3*p**4 - 144*p**2. What is the first derivative of k(a) wrt a?\nAnswer: 10*a - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15559*g**2 + 0 + 15561*g**2 - 113*g + 2.\nAnswer: 2*g**2 - 113*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 19 = 4*g. Let f = g - -12. What is the least common multiple of f and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*i + 732 = 6*i, 4*u = 5*i + 1425. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0472 + 0.1472. Let n = -0.8 - -1. Which is the nearest to -1?  (a) n  (b) l  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 341971.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 + -9. Suppose -n = -0*n + 5*a - c, -10 = -5*a. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 + 23 + 7 + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55276.\nAnswer: 2, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 84 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1515 - -1519. Solve -x = m + 3, -2*m - u + 3 = -3*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.229905 + 4431515.229905. Let s = m - 4431509.4000076. Let d = -1.6 + s. Round d to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 542 and 22?\nAnswer: 5962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (4\/14)\/(5 + (-39210)\/7266) and 3\/56?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 42. Suppose -3*j - 3*d + 6 = -z, 2*j + d = 28. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*w = 7*w + 11, -21*f + 945 = -3*w. Let u(l) = -8*l + 369. Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (55\/(-4))\/(-11)*(-22)\/55?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 333643760, 333643761, 333643762, 333643763?\n\"Answer: r + 333643759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 444 (base 6) to base 8.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*n - 76*n - 1 + 1.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10490*c - 10367*c - 5002 = -20979*c for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, m: 2, j: 1, u: 3, w: 2, o: 3}. Give prob of picking 1 w and 1 v.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*l - 5*n - 5, -20 = 4*l + 4*n. Which is the closest to l?  (a) 8  (b) -3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(2160))\/sqrt(12).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -5*b + 2404, -4*q + 1780 = -q - 2*b. What is the greatest common divisor of 15794 and q?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(11)*-2 - sqrt(11))**2 + 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2886490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6, z: 3, q: 4, w: 2, t: 1}. Give prob of picking 1 z and 3 q.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000010011110100111 (base 2) to base 6.\nAnswer: -15242131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/6405 and 157\/4830.\nAnswer: 294630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3707 - 1131. Let h be 36*(4 + m\/6). What is h rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (141*w**3 - 200*w**3 + 124*w**3)*(1 + 0 + 0).\nAnswer: 65*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 2*b - 17. Let f(z) = 36*z**2 - 3*z - 2. Let m be f(-1). Suppose m = -4*k - 3*p, -10 = k + p - 0*p. What are the prime factors of j(k)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4343 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -2*f - 24. Let k = -5 + f. Solve 0 = -0*p - k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5175?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000016767667 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -5*q**2 - 162*q - 38. Calculate the remainder when 202 is divided by f(-32).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36873932*2\nAnswer: 73747864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m - 2. Let w be x(19). Suppose -5*l + w = l. Solve -f - l = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 982269857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**3 + 13*d**2 + 4*d - 4. What is the units digit of x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28.8 + 17. Let t = f - -11.7987. What is t rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) -66  (b) 17  (c) -2\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 1)*(0 + 2 + 0)*(-2 + 4*w + 2) + 14*w + 19*w - 45*w as f + z*w and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3424266 is divided by 1342?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-7))\/((-174)\/116)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 872 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111424421 + -10?\nAnswer: -111424431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -134220010?\nAnswer: -134220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -267537\/4  (b) -0.1  (c) 0.4  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 13*p - 6. Let d(b) = -b**2 + 3*b + 1. Let j(k) = 2*d(k) - f(k). Let h(c) = 2*c**2 + 6*c - 7. Determine -6*h(w) - 5*j(w).\nAnswer: -2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 38027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = x + 160. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a74 + -3?\nAnswer: -a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 47 (base 15) to base 2\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/(-4))\/7*310\/775.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82703 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139354 + 5*p**3 + 139354.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -7.86 times 3024\nAnswer: -23768.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1484900 is divided by 1484605?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 2:12 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4522 - 728. Are -5252 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 6*f**2 - 7*f - 7. Let u be g(-5). Suppose u*h + 11 = m, 2*h = m + 3*m + 6. Let s = 1 - m. What is the second biggest value in 1, s, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0324 + 0.032393025. Round y to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 8:15 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1  (b) -14  (c) 1\/4  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216*k + 207*k = -8 - 19. Factor -9\/4 - 3\/4*u - 1\/4*u**k + 5\/4*u**2.\nAnswer: -(u - 3)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5460 and 286.\nAnswer: 60060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 62*k = -64*k - 6, -k - 1 = 2*p. Let o(a) = 91*a**2 + 101*a**2 - 184*a**p. Let l(v) be the second derivative of -v**4\/3 - v. Determine l(o(c)).\nAnswer: -256*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-6)*(8\/208*-13)\/((-2)\/332)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1202, -2417, -3634, -4853, -6074, -7297?\n\"Answer: -p**2 - 1212*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -627*c**4 - 14826*c - 639288237 wrt c.\nAnswer: -2508*c**3 - 14826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*z**3 + 0 + 0 + 0 - 2*z**2.\nAnswer: -22*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 402 = 3*j, 3*j = -z + 3*z + 402. Is -2*j\/4*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 AM and 7:25 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 41\/2 of a hour?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*r - 7783481 = -7783073 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 36 = 11. Let h(m) be the first derivative of 2 - 9*m**3 + 9*m**3 - m + m**j + 5. Find the first derivative of h(r) wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.3 and 40805676813.\nAnswer: 40805676813.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 496 or 8419\/17?\nAnswer: 8419\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l - 25*l = -78. What is n in 30*n**4 - 39*n**2 + 9375*n - 240*n**2 - 24*n**4 + 2158 + 15*n**5 - 750*n**3 + 1592 - 21*n**l = 0?\nAnswer: -5, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -186 by -31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 987339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2\/9 + 656*x - 5940.\nAnswer: 4*(x - 9)*(x + 1485)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 130\/(-15) + (-2)\/6. Let g = c + 14. Suppose 0 = -5*y - g*f + 30, 2*y - 2*f = 2*f + 12. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145.26317939 - 425.\nAnswer: -570.26317939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -6\/83  (b) -0.1  (c) -1  (d) 2\/13  (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 16*s - 35 = 0. Let k(l) = 7*l**2 + 4*l**2 + l**2 - s*l**2. Let p(v) = v**2. Give p(k(d)).\nAnswer: 49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 224480 and 7808960?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 a factor of 37213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 36 = -5*j - 11, 2*j = 5*h + 29 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (-17 - -19)\/((-4)\/(-2586))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) -1\/6  (b) 0.014  (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 18*t**3 + 25*t**3 - 4 - 31*t**3.\nAnswer: 12*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/3871 and 10\/234551.\nAnswer: 11492999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z**3 - 47*z**2 - 11*z - 35. Let g be s(12). Put 1, 4, g, -2 in descending order.\nAnswer: 4, 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 728288 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 28 = 2*t, 3*h - t - 75 + 43 = 0. Calculate the smallest common multiple of h and 92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48, 50, 52?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16.989 - -0.011. Is -0.2 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -487*q**2 + 2*q - 2. Calculate t(1).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**7\/105 + o**3 + o**2 + 4*o. Let k(c) be the first derivative of l(c). What is the first derivative of k(n) wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*t = 215*t + 27*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/220 and 49\/2086480.\nAnswer: 2086480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {l: 7, h: 3, z: 8}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 120*b - 4 + 14*b + 118*b - 44*b as p*b + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 1 - (3 + -1 + (6 - (3 - -2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9381523363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 60 + 0 - (154 + -92 + -58 - 14)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30.5 and 49.\nAnswer: 1494.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((383490\/12)\/(-15))\/(15\/6). Let c = 524143\/615 + y. Is c at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2366231 + 5?\nAnswer: 2366236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 37482*k**2 + 37451*k**2 - 74992*k**2. Let h(w) = 38*w**2. Determine c(h(g)).\nAnswer: -85196*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -17*m**2 + m - 1. Calculate l(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/6422 and 73\/2906696?\nAnswer: 37787048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 7*t**2 - 3*t - 9. What is the remainder when c(-7) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1194 + -5?\nAnswer: -1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1767303 is divided by 589101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -10244036 (base 7) in base 16?\nAnswer: -d3f40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 6677*s + 1161797. Calculate q(-174).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67982, 97813, 178786, 336473, 596446, 984277?\nAnswer: 1525538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-6)\/(v\/((v\/(v**(3\/5)*v*v))\/v))*(v**(-1\/4))**(1\/40) assuming v is positive.\nAnswer: v**(-1537\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 18541832 + 10?\nAnswer: 18541842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 102022211212?\nAnswer: 102022211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -4*m**2 + 2*m + 9. Let y be s(8). Let x(n) = -141*n - 1218. Let i be x(-7). Is y != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 117, 0.5, -0.4 in decreasing order.\nAnswer: 117, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0393 - -46.9607. What is the closest to 0 in 0.5, r, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3987521103 to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 3*k = 2*c - 6, -5*c - 5 = -5*k. What is the remainder when ((-3)\/4)\/((-2)\/16) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -67, -3, -6, 5, -5.\nAnswer: -67, -6, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 7*u**2 + 6*u - 2. Let t(d) = -8*d**2 - 7*d + 3. Let j(m) = 7*h(m) + 6*t(m). Let i be j(0). Solve -i*z + 5*c + 24 = 0, -2*z + 0 = -3*c - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165751969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-120)\/16)\/(-15)*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 1:26 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 81\/270 + (-2)\/(-1). Let n = -197\/15 + g. Find the common denominator of n and 53\/87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.054 in -0.04, 3\/4, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*m*n**2*q + 6006*m*n**2 - 11*m*n - 16*m*q - 2*m + 2*n**2*q - 2*n**2 - 133*n*q + n wrt n?\nAnswer: -66*m*q + 12012*m + 4*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1\/4, 3\/11, -10, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1061 times 53961\nAnswer: -57252621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 3*s + 4. Let k be i(9). Let h = k + 726\/7. Which is the closest to 1\/2?  (a) h  (b) -3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 814 + -883.8. What is b rounded to zero decimal places?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 28 = 4*u, 0 = 2*d - 4*u + u + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 12. Suppose r = 3*c - 5 - 7. Let f(h) = 6 + 0 - 6 + c*h. Let t(k) = -2*k**2. Determine t(f(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -h**5 + 18748*h**4 - 74981*h**3 + 93722*h**2 - 37488*h = 0.\nAnswer: 0, 1, 2, 18744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/(j*j**(-2))))**(-32)*j*j**(-2\/27)*j*(j*((j\/j**(-5\/6))\/j)\/j*j)\/j)**(-1\/2) assuming j is positive.\nAnswer: j**(-1877\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26642\/37 + -720. Let b = c + 44\/555. Sort 2, 0.5, -0.5, b in increasing order.\nAnswer: -0.5, b, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15102.\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -4\/11  (c) -43021  (d) -9\/2  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-56)\/(-21)*-1*12. Let z = 36 + m. What is the units digit of (-12)\/(5\/(-10)*z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*c = -c - 4532, 2*i + 4*c - 3018 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-9) + 10\/(-3). Let z be y + 3 - (1*-27 + -3). Let h = 46 - z. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -62\/9  (b) -5\/6  (c) -2\/5  (d) 1\/10  (e) -408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -162124740*v**2 + 406167350*v wrt v?\nAnswer: -324249480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g - 6*g + 0*g + (4 - 2 + 1)*(g + 5*g + 4*g) - 2*g + 2*g - g + 38*g + 28*g - 17*g to the form u + j*g and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45597 is divided by 572?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r + 137. What is the lowest common multiple of t(9) and 32?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 4*b + 113 = 5*u, 20 = 5*b. Suppose -4*p = -x + 11, 5*x - u = -p - 0*p. Let i = x + -8. Is 10 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2887 + -1701. Suppose -5*k = -5*j + 2610, -2*k = 3*j - 375 - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1) + (0 - -1) + -23 + 18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**3 + 502*k**2 + 230338*k - 230838 = 0.\nAnswer: -237, 1, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1153 + -1151. Suppose 9*r + 53 = -262. Which is the second smallest value?  (a) o  (b) -6  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -596, -2377, -5346, -9503, -14848, -21381?\nAnswer: -29102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*s**3 - 130*s**3 - 55*s**3.\nAnswer: -226*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.819 + 21.5936. Let u = -0.0554 - l. Round u to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -480 - -499. What is the remainder when 55 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 1. Let f(h) = -3*h**3 + h**2 + 4*h + 1. Calculate -f(p) + w(p).\nAnswer: 3*p**3 - p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -h**3\/3 - 3*h**2 - 1751*h. Let j(y) = -y**2 - y - 1. Calculate c(b) - 2*j(b).\nAnswer: 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**13)**(-13)\/(l**(-8))**(-38) assuming l is positive.\nAnswer: l**(-473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of p**4\/12 + p**3\/6 - 7*p. Suppose -z + 86 - 83 = 0. What is w(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 12) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 12*l**2 - 10*l - 7. Determine g(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2*p + 38, -19*p + 90 = 2*j - 16*p. Suppose 5*l = o + 2*l + 30, 5*o + 86 = -l. Let s = o + j. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4293617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -280 + 253. What is the closest to 0.1 in -0.1, j, -1\/5, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/9?  (a) -5  (b) 0.2  (c) -3  (d) 6  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 139956 and 9?\nAnswer: 419868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 597 a factor of 20965687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -8188.2 to the nearest 100.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1205170.193621 - -1205169. Let w = o + 1.193. Round w to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5954 + -5954. Which is the nearest to d?  (a) -1  (b) 1068  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((5 + sqrt(704) + 2)*1)**2 - ((sqrt(99) + 0 + sqrt(99) + 2)**2 + (sqrt(99)*-2*-4 - sqrt(99)))).\nAnswer: 67*sqrt(11) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 6 + (-6 - (0 - 9) - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 2 + (70 + 88 - (13 - (-5 + -2))).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-208)\/(-10) - (-7)\/35. Let m be 4 - 3\/(9\/h). Let y(z) = -25*z + 8. Is 28 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 141692, 117, -3 in descending order.\nAnswer: 141692, 117, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, 6, 54, 152, 318?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2. Let v(p) = -1936*p**2. Calculate b(v(d)).\nAnswer: -3748096*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**3 + g**2 - 3*g + 1. Let b(u) be the first derivative of -3*u**4\/4 + u**3\/3 - 5*u**2\/2 + 2*u + 40. Give 3*b(i) - 5*z(i).\nAnswer: i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 147.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.093 - 0.093. Which is smaller: y or 11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -6.93. Let r = -2.646 - -2.6. Let q = r - v. Round q to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 8384 = 12*j. Find the third derivative of -2*s**6 - 2090 - 6*s**5 + j - s**5 - 3*s**2 wrt s.\nAnswer: -240*s**3 - 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -3 + (9 + -7 - -13) + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 + 5*b + 5. Let j(s) = -5*s - 14 - 7*s - 3*s**2 + 2. Let f(t) = -5*j(t) - 12*q(t). Let y(p) = -2*p. What is y(f(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24)\/(-2)*((-8)\/1 + 9). Solve -l - q = -6*l - 4*t, -5*t + 15 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/7, 0.02, 45, -1741, 2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.4  (b) 0  (c) -0.3  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -12  (b) 5  (c) -4  (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5388, 10777, 16166, 21555?\n\"Answer: 5389*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 25 - (16 + 20 - 28)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/66 - (33\/9 - 3) and -37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -79*q**2 - 3. Let j(g) = -29*g**2. What is z(j(b))?\nAnswer: -66439*b**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.456423 hours to nanoseconds.\nAnswer: 8843122800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/7 + 10\/(-112). Let h = -11\/46 + -1\/92. Sort 0, q, h in increasing order.\nAnswer: q, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g - g + 49*g - 2 + 15*g**2 - 53*g.\nAnswer: 15*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-5))\/((-56)\/6860). Let d be x\/1078 - (-8604)\/22. What is the highest common factor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4826 divided by -27188.\nAnswer: -2413\/13594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.63 - 0.37. What is the nearest to s in 0.5, -7, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 + 16 - (-19 - 4)) + -27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14141 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1273631623848 - 0.2.\nAnswer: -1273631623848.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 - -40. Suppose -5*t - 3*p = -p - 15, 4*p + 6 = 2*t. What is the highest common factor of v and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 22. Let x(t) be the first derivative of 4*t**3\/3 + t**2\/2 + t - 2. Let c be x(-1). Solve 4*z = 2*z - 2*f + 2, z - c*f + q = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.91 - 0.09. Let u = -9 - l. Let g = 8 + u. Which is the closest to 2\/7?  (a) 1  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/4 and -16\/111213.\nAnswer: 444852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.06 + 5.94. Let m = 11 - f. Let y = -1.9 + 2. What is the nearest to y in -1\/3, 3, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 1 = 4. Let t = 6 + s. Suppose -z + b = -3*z + 46, -3*z = t*b - 75. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f + 1. Let v be s(-1). Let g(p) = -p - 6. Let z be g(-6). Let o be z + 2\/12*1. Is o > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2805 - 2812 - 2804 + 8416 + 4*c. Suppose -4*w + 18 + 10 = 0. Give g(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87119 is divided by 1177.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 524, 2109, 4638, 8111, 12528, 17889, 24194?\nAnswer: 31443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 716\/18 - 6\/(-27). Suppose -x + k = 3*x. Suppose 6*s - 3*s + m = 103, -x = 2*m. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.06 and 0.114.\nAnswer: -0.00684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -8*w**3 - 9*w**2 + 48*w - 38. Let o(z) = -z - 15. Let d be o(6). Let l(i) = i**3 + 2*i**2 - i - 1. Let y(s) = d*l(s) - 3*v(s). Factor y(u).\nAnswer: 3*(u - 9)*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -734*h - 7322. Determine r(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 155\/3, -2\/5, 0.2, -163, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1107615107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*r**2 + 3 - 15632*r - 2*r**4 + 15633*r + r**4 - 8*r**3 + 2*r**4 to the form h*r**2 + a*r**4 + g*r + f*r**3 + p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 14 - (1 - 5)) + -3 - (154 + -164)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 12:24 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -3*h + 129. Let m = 37 - h. Solve -f + 1 = m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5, 0.36, 0.4, -0.4, -0.7411?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3704571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - 1*-6)*2. Let a(u) = -2*u**2 + p*u**2 - 3*u**2. Let f(l) = 6*l**2. Give f(a(w)).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - ((-10 - (6 - -2)) + 12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 107\/6 + -18. Let n = -2976\/5 + 595. What is the third smallest value in 1\/3, n, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d - 4*z - 22, 2*d - 3*z - z - 16 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*f - 8 = -f, 0 = 4*f - 12. Let c be (-2 - 2) + n\/((-35)\/940020). Round c to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -3*r + 2*r**2 - 4 + 2*r + r. Let n be y(4). Let u be 6\/(-8) - 35\/n. Put u, 3, -5 in ascending order.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 5*k + 123 = 0, -3*i - 4*k - 17 + 148 = 0. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -2) + -20 + 15 + 3 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*p - 608 = 92*p + 718 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -841 by 16.\nAnswer: -841\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -128 > -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-15)\/2)\/(-4*6\/64). Let o be (t - 18) + ((-16)\/3)\/4. Factor -2*y**3 + o*y**4 + 2\/3*y**2 - 4\/3 + 2*y.\nAnswer: 2*(y - 2)*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 104311 (base 5) to base 7\nAnswer: 13543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -64 - -9 - -13 - (4 - -4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of 53*v**4\/12 + 25*v**3\/6 + 26*v**2 - 2*v. Is x(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16531020 and 1138005?\nAnswer: 314089380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11, 15, 19?\n\"Answer: 4*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 1473*f + 148. Does 11 divide k(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 8*b**2 + 8*b + 5. Let u be p(-7). Let c(w) = w**3 + 2*w**2 - w + 1. What is the units digit of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -5 - (-114 - (-38 + 49) - (-11 - 15)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/3 + (-56)\/(-12). Suppose -2*z + 2 = -v. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 580 and 1360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -414 + 4967\/12. Let c be (-1 - 1)\/(2\/4). What is the common denominator of p and (-87)\/(-30)*(-15)\/c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - 2) + 0\/(-6). Let v = q - -10. Calculate the greatest common factor of 88 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 356*n**2 + 2*n. Let b = 21 + -12. Let f be 1\/(-2) - b\/6. Let j be d(f). Round j to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -11.6. Let f = 0.6 + g. Let a = -9.644 - -10.544. What is the nearest to f in a, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -870 + 1924. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -34*x + 3. Let v(o) = -98*o + 10. What is -14*f(w) + 5*v(w)?\nAnswer: -14*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 976.5 - 971.5. Which is the second biggest value?  (a) 0.4  (b) -1\/1603  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/383 or -5706834?\nAnswer: -5706834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.7 - 11.7. Let r = 10.0000064 + n. Round r to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrhhaaahaa. Give prob of picking 1 r and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of i**7\/21 - 3*i**6\/5 + 29*i**5\/10 - 13*i**4\/2 + 6*i**3 + 5545*i. Suppose m(y) = 0. Calculate y.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2 + 463868*d - 26896690178.\nAnswer: -2*(d - 115967)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a - 149*a**2 - 104*a**2 - 110*a**2 - 110*a**2 + 476*a**2.\nAnswer: 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111100011111 + 0?\nAnswer: 10111100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21159?\nAnswer: 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497639 is divided by 1946?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.7, -16, 33\/26, 22\/3 in descending order.\nAnswer: 22\/3, 33\/26, -0.7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4330.\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/(33\/(-18))*248\/93.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**3 + 0 + 0 + (0*j**3 + j**3 - 10*j**3)*(1 - 1 + 2) to d*j**2 + s*j + b*j**3 + v and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g**2 - 231*g + 180 = 0. Calculate g.\nAnswer: -20, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -270*a**2. Let g(u) = 3*u. Determine i(g(d)).\nAnswer: -2430*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 4:53 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -497\/80 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 f, and 1 o when three letters picked without replacement from {k: 2, o: 7, f: 3, w: 3}?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.6, -0.255, 5\/4, -2, 9 in ascending order.\nAnswer: -2, -0.255, 5\/4, 1.6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -29, -49, -69, -89, -109?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l + 19*l + 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 564250 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 710739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 40188 = -3*l - 0*l, -3*l = -3*v + 30141. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from hfffhfhhfccfc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 9:50 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (0 - (-6 + 0) - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - x - 117. Suppose 0 = r - 17 + 86. Let g = x - r. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -844, -3\/14, -1, 1 in descending order.\nAnswer: 1, -3\/14, -1, -844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u - u - 2*u. Let k(r) = -83 + 3*r + 83. Determine k(w(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + -5 + 1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(68) + 0 + sqrt(68)) - (sqrt(68) + sqrt(68)*2*-2))**2 + ((sqrt(68) - (2*sqrt(68) + 4))*-2)**2)*3*-4*-1.\nAnswer: 768*sqrt(17) + 187632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**3 - 19*z**2 + z - 29. Let x be o(-15). Let c be x\/68 - 3\/4. Let u = -30 + c. Solve -u*h = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21187166257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3920)\/(-208) - 4\/(-26). Which is bigger: c or 18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*(-4)\/(-10) - -21. Let u(s) be the second derivative of 2*s**3\/3 - 13*s**2\/2 - 18*s. Is u(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 24 = 3*g + v, 5*g = 3*v + 30. Solve g*y = y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + 4*sqrt(72)*1 - (sqrt(72) + -2*sqrt(72) + 2 + sqrt(72)))**2 - (-4*(sqrt(72) + -3) - sqrt(72) - (sqrt(72) - (1 + sqrt(72) + 5)))**2.\nAnswer: -320 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (2 + 1) - (5 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -2127\/32 and -67 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((-4*(sqrt(300) + sqrt(300) + -1) - (-5 + (sqrt(300) - (0 + sqrt(300)))))*-6 + 0)*-2)**2 + 1.\nAnswer: -207360*sqrt(3) + 2776467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, j: 13}. What is prob of picking 1 j and 3 v?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 15865)*((-40)\/12)\/(-5). Let j be 2\/7 + f\/(-28). Let s = j + -266. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12032 and 2592.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21594 and 708.\nAnswer: 43188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1214 by 15045.\nAnswer: -1214\/15045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1016098487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2450*k - 188656. What is v(77)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1087199352 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 768 and 379992?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 PM and 11:31 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39 - -65. Solve -9*p + d = 62 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-32))**(-1\/9)\/(f**(-13)*f**(4\/5)))**6 assuming f is positive.\nAnswer: f**(256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 8*y**3 + 5*y**2 + 3*y + 24. Is j(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 471*x = 2935 - 73114 for x.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-6))**27\/((v*(v*(v\/v**(-4))\/v)\/v*v*v)\/v**(-1\/3)) assuming v is positive.\nAnswer: v**(-427\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/9 + -3*(-86)\/(-54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-1*(-2*(sqrt(245) + 0 + sqrt(245))**2 + sqrt(245)) - (sqrt(5) + -5*sqrt(125) + (sqrt(50)\/sqrt(2))\/sqrt(5))**2).\nAnswer: -680 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(10\/7)\/o)\/(o*o**2)*(o*o**(2\/73))\/o**27)**(2\/77) assuming o is positive.\nAnswer: o**(-2652\/3577)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.805 and 957.\nAnswer: 2684.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from emmmmbmmcbzgecc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1588*p**2 + 8*p - 51 wrt p.\nAnswer: 3176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 658603 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 10, 33, 3 in increasing order.\nAnswer: -4, -2, 3, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 166*n**4 - 15624*n**3\/5 - 243478*n**2\/5 - 42264*n\/5 + 232 = 0. What is n?\nAnswer: -10, -1\/5, 2\/83, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**2 + 2*g**3 - 2*g**2)*(533 + 583 - 1281)*(0 + 0 + 2)*(-g + g + 2*g + (5 + 1 - 5)*(-2*g + 0*g + 3*g))*(3 - 3 + g).\nAnswer: -1980*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2991780 divided by -997260?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*v**3 - 54814*v**2 + 16694517*v - 1483524.\nAnswer: (v - 609)**2*(45*v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -79\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of -3*z**6\/5 - z**4\/12 - 19*z**3\/3 - z**2 + 36*z. Find the second derivative of x(i) wrt i.\nAnswer: -432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m - 12 = -47*l + 45*l, 4*l + 5*m = 116 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhyhhhhhyhh. Give prob of picking 4 h.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + b = 7, -h - 3*b + 10 = -b. Suppose -5*s - 7 = -2*r + 19, -h*r = s + 14. Which is bigger: -35\/6 or s?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, z: 1, n: 2}. What is prob of picking 1 z and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10018095793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 + 14 + 28 - x**2 + 14 - 20.\nAnswer: -2*x**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 99 + -100. Let k(i) = 84*i - 5. Let f(t) = 169*t - 11. Let c(j) = 4*f(j) - 9*k(j). Is c(b) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -288 and -11189.9032.\nAnswer: -11477.9032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/10)\/((-12)\/(-1740)). Let v = -66 + b. Calculate the greatest common factor of 168 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-460.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 12112 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 885 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 5:14 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**9*f*f*f**(3\/23) assuming f is positive.\nAnswer: f**(256\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**3 - 44*h**2 - 1 + 44*h**2)*(5*h - 18*h + 35*h)*(19 + 27 + 15 - 16).\nAnswer: -990*h**4 - 990*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1148*o**5 + 1677*o**5 - 1239*o**5)*(5 + 1 + 9).\nAnswer: -10650*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.036280697705 rounded to 4 dps?\nAnswer: 0.0363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(1\/(-4)) - -8. Sort 1, l, -3 in descending order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -433*u**2 - 362 wrt u.\nAnswer: -866*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/4, -9, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1064*l**3 - 11*l**2 - 729*l**3 + 21*l**2 to h + r*l**2 + x*l**3 + q*l and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, g: 3, t: 4, v: 5}. What is prob of sequence av?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/9)*l*l*l*l\/(l**(-3\/5)*l)*((l*l*l**(2\/5))\/l)\/l*l**(-3) assuming l is positive.\nAnswer: l**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 5665 + 1405 = 0. Let q be 2\/(-7) - i\/42. Let d = -4 + q. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, b: 3, e: 6, r: 3}. Give prob of picking 1 r and 2 i.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -51*x**3 - 7*x**2 + 123*x - 3. Let s(m) = -26*m**3 - 3*m**2 + 62*m - 1. Let q(j) = -3*a(j) + 7*s(j). Find the second derivative of q(z) wrt z.\nAnswer: -174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2*m = 36. Let w be 3\/(-3*3)*m. Suppose -w*g - 9 = -b + g, -4*g = 4. Solve -3*a = 2 + b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 - 7*f**2 - 11*f + 4. Suppose 5*m - 10*m - 5*b = 45, 2*m - b = -6. Let z be s(m). Put -3, z, -6 in descending order.\nAnswer: z, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*t**2 + 0*t**2 - 5*t**2 + (-2 - 1 - 2)*(6 - 2 + 1)*(-13 + 5*t + 13)*(-2*t - 2*t + 3*t) to i*t + z*t**2 + n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9.98 + 10. Let x = 6.98 + h. Let d = -14 + x. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 6 + 20. Calculate the least common multiple of m and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000060009918 to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*v = 898, v - 2*v - 1 = 0. Suppose -h = -5*m - 5*n, -4*m - 7 = -4*n - 167. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1132232400 + 3?\nAnswer: -1132232342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from eqggllqlmzqq.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 20. Solve 2*s - k*s = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - 3*j - 9. Let a(k) = 2*k**2 + 7*k + 19. Let t(p) = -4*a(p) - 9*s(p). Let q be t(0). Solve 1 + q = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -36) + (9 - (15 - (7 - 2) - -2))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*d + 3 = 0, 2*d + 4 = -2. Let j = i - 3. Let z = j - -3. Solve -3*f + 2*f + z = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -191*w - 137*w - 11*w - 58*w to z*w + t and give z.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 35*j**2 - 66*j + 8. Let i be x(-33). Let u be i\/3 - 3 - 80\/(-24). Sort u, 0, -10, 2 in ascending order.\nAnswer: -10, 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57\/41, -2, -0.5, -12\/25, -4.\nAnswer: -4, -2, -57\/41, -0.5, -12\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + 4*p**2. Let a = 6 - 10. Let d be g(a). Suppose o = 1 + 1. Put d, 4, o in increasing order.\nAnswer: d, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2. Let h(z) = -223544*z. Calculate p(h(k)).\nAnswer: 49971919936*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + z = 16. Suppose -2*l + z = -0*l. Let n be l\/18 + (-8)\/(-126). What is the second smallest value in 0.3, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -5 - 22560. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43 and 18103.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 3*g - 9, -3*u = -2*u + 2*g - 3. Suppose 8 = -p + u*p. Which is the third biggest value?  (a) -3\/4  (b) p  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -17*o - 27. What is the remainder when 161 is divided by h(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/46 - 1718400\/(-27600).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -23682599\/3 or -7894199?\nAnswer: -7894199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*a - 12. Suppose 4*v - a*j - 8 = 0, -34 = -5*v - 3*j - 0*j. Solve 0*r = -v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (20804\/6)\/((-250)\/30) - 1. Let k = f + 417. Is k greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 6*m + 4. Suppose -2*t + 0*t - 10 = 0. Let k be 2\/t + 32\/5. Calculate the smallest common multiple of 6 and u(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -0.2, -1, -0.5, 7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7152 (base 10) to base 5.\nAnswer: -212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 329 - 233. Find the first derivative of -169 + 113 - p*k + 138*k + 167*k wrt k.\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 157771635 to the nearest integer?\nAnswer: 12561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of -2*g**2 + 0*g + 0 + 0*g**3 - 7\/24*g**4. Let p be t(-1). Solve 2*u + 5*j = 3*u + 25, p = -3*u - 2*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 648 + 2*(-4)\/(-1 + 5).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 29 = 2*c + 4, -3*f + 11 = 4*c. Let b = c + -2. Let w be b - -6 - (1 + 1). Solve -5*v + w = 3*z, -8*z - 5*v + 11 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 + (37 - 59 - -25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11203366 divided by 2?\nAnswer: 5601683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 45) + 39 - -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 192 - 48. Let v be 3\/(-6)*0 - 57. Let q = s - v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 113954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 12860127?\nAnswer: -64300635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b - 5 = 11*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0\/1 + -1)*3. Let i(p) = p - 6. Let r(l) = 3*l - 17. Let g(w) = o*r(w) + 8*i(w). List the prime factors of g(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -80 - -88. Let j(s) = 2*s**2 + 4*s - 23. What are the prime factors of j(q)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/425876 or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**8\/6720 - x**7\/504 + x**6\/720 + 7*x**5\/120 + 16*x**4\/3 + 59*x**2. Let d(b) be the second derivative of v(b). What is d(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zrnrinyyniznn. Give prob of sequence nny.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 3 - 7. Let v be (l\/(4\/(-1)))\/(-2). Let n = 0.1 - 0.2. Which is the closest to 1?  (a) n  (b) v  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 388900438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, c: 10, k: 3}. Give prob of sequence nkck.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**8*p)**(-1\/15)*(p**(-1\/2))**(-2\/33))**41 assuming p is positive.\nAnswer: p**(-3854\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 319 and 3046769?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 18788 - 18870 = -9473. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(162) + (sqrt(162)*2 + sqrt(162) + sqrt(162))*2 - (sqrt(162) + -1 + 0 + sqrt(162))))**2 + 4*(sqrt(242)*-2 + sqrt(242) + 1 + -2).\nAnswer: 586*sqrt(2) + 7959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + 5*z + 1. Let w be 1*(-8 + 4 + 4). Let u(k) = k**2 - 7. Let y be u(w). Let h be t(y). Calculate the greatest common factor of h and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 14*j**2 + 20*j + 22. Does 15 divide u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.2  (b) 0.004  (c) 0  (d) 1.8  (e) 1\/4  (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 330, 3\/8, -129\/5, -6 in decreasing order.\nAnswer: 330, 3\/8, -6, -129\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 441\/294*28\/(-18)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 + 91 = 23*j - 132 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) 5682  (c) -0.067  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 4 + (4 + 0 - 2)*(-4 + 0 + 3))*(2*w**5 - 5*w**3 + 5*w**3) + 30 - 9*w**5 - 30.\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 146656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 - 4*u + 11. Let g be h(5). Differentiate -14*l - 7 - 4*l - g + 2 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**2 + 847*g - 63717. Give l(98).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**3\/7 - 136*c**2 - 7422*c\/7 + 30888\/7 = 0. Calculate c.\nAnswer: -468, -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, z: 8}. What is prob of picking 3 z and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from dxeefxydyfqxxde?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w*w*w**5*w))\/(w*w*w**(-2)*w))**(1\/14)\/((w**(1\/3)\/w*w*w*w**(3\/5))\/(w**(-4)*w**(-5)\/w*w)) assuming w is positive.\nAnswer: w**(-2431\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of 0 + 61*l + 40\/21*l**7 + 0*l**2 + 0*l**6 - 19\/4*l**4 + 0*l**5 + 0*l**3. What is the third derivative of s(q) wrt q?\nAnswer: 4800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 20*z = 62, 226*h - 227*h - 2*z - 2 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 1 + 6 = -5*i, 3*i - s + 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/6 and 95\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 4*l = -4. Suppose -2 = -c + l. Solve 5*n = -2*q + c*q - 10, 5*q - 10 = 5*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1117428.\nAnswer: 2, 3, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 360 and 2332710?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 53*u + 32. Give n(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - 15*s = 0. Suppose 8*t + 0*t - 104 = s. Let p = -5 + 9. Solve 35 = 4*u - 5*d, -3*u + t = 2*u + p*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 - k**2 - 3*k**2)*(8*k - 17*k - 14*k)*(3 + 3*k - 3) + k**2 - k**2 + 3*k**4.\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m**3 - 72*m**2 + 25*m - 96. Determine g(-24).\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2618751 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -165 + 164.998252. What is u rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15\/6*(-12)\/(-10). Let s(t) = -5*t. Let f(r) = -21*r + 2. Let q(v) = f(v) - 4*s(v). What is q(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -4668173?\nAnswer: -4668174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91564 = 1482*y + 320 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from voicivwwogvw. What is prob of sequence ow?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of y**3\/3 - 19*y - 1. Let w(h) = 8*h**2. Calculate w(b(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k - 34 + 188. What is the remainder when 58 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -7.6. Let r = o + 0.6. Let h be (-6)\/(-8) + 40\/32 + -1. What is the closest to r in h, -4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.9 - 7.1. Sort 1\/2, 2\/9, 0, q in ascending order.\nAnswer: q, 0, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35847 = 7180*y - 5473*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4421 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 22503.47 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37260 and 4416.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -159 divided by 41.\nAnswer: -159\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*x**4\/11 + 32*x**3\/11 + 102*x**2\/11 - 144*x\/11 + 40\/11 = 0. What is x?\nAnswer: -2, 2\/5, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 200264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 7*b**2 + 4488*b - 13477. Calculate v(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 5*r**2 + 6*r + 17. What is x(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1551641349 a multiple of 2267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.114 + -105.886. Let q = 30 + y. Let r = q + 71. Which is the nearest to 1\/22?  (a) r  (b) 3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*s = -135*s + 19*s + 2620. Suppose 0 = 2*m + 5 + 15. Let o = -5 - m. Solve h = o*h - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 30*i**2 + 4*i - 56. What is the remainder when 218 is divided by v(30)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -144 + 144.0833. Let f = -0.0147 + m. Round f to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express z**3 - 8 - 74*z + 49*z + 14 in the form j*z**3 + k*z + a*z**2 + p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*j + j - 109 = 0, -5*j = 3*a - 99. Let b = 69 - a. Suppose m = u - 5*u + b, u = 5. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -4216*y - 83. What is the thousands digit of k(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2306 rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -141*a**6 + 6907*a**5 + 2532925*a**2.\nAnswer: -16920*a**3 + 414420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100110000010001011110010 + 111?\nAnswer: -1100110000010001011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 194 - 133. Let t = -45 - -9. Let w = f + t. Solve 0 = 2*g + 5*d - 0*d - w, 10 = 4*g + 2*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 342 = 7*t. Suppose -8*o + 11*o + t = 0. Let l = o + 54. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -88*m**2 - 34*m + 18*m**2 + 29*m**2 + 26*m**2 - 1 + m**3. Let s be u(17). Which is the closest to s?  (a) 3  (b) 103  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*r**2 - 113*r**2 + 8*r**3 + 60*r**2 in the form a + p*r + f*r**2 + k*r**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -2*f - 18, -13*f = -11*f - 5*l + 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14291 - 14290. Let h(c) = 3*c + 2. Let i be h(-4). Let z be (3\/(-1))\/(6\/i). Put z, k, 4 in descending order.\nAnswer: z, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) + -1 + 0 - (0 + -2 + sqrt(1100)))**2*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37800 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence piii when four letters picked without replacement from {j: 4, p: 1, i: 4, m: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in sixty-nine halves of a millennium?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 - 3*c**2 - 127*c - 439. Calculate h(-9).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-14)\/(-35))\/((-12)\/(-210)). Solve 4*r - 4*o - 15 = -v, 2*r = -2*o + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8000 divided by 2\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(11) + (sqrt(99)\/sqrt(3) - sqrt(33))\/sqrt(3).\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -3*z**2 + 52*z + 13. Let i(u) = 6*u**2 - 19*u - 3. Let h be i(4). Is 5 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-27)\/6)\/(3\/4). Is (-2166)\/n - 3\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 9:48 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8 and -3793.6.\nAnswer: -30348.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, x: 3, d: 4, n: 1, k: 1, t: 1}. Give prob of sequence nxtx.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -5*c**3 + 10*c**2 - 7*c + 17. Let u be z(8). Let f = u - -3946. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 53652 and 71536.\nAnswer: 214608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21 and 32053.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven eighteenths of a day?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -61*p**3 + 2*p**2 - 1. Let c be i(3). What is c rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -13671 - 10479. Suppose 3*b + 5*u = -5, -4*u + 7 = 5*b - 2. Suppose -t = b*o - 4*q, -2*o - 2*q - 1932 = q. Round o to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -133*y - 245. Does 57 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*j + 0 = 19, -2*k + 5*j = -29. Factor 3*v**k - 2 + 6*v + 3*v + 8.\nAnswer: 3*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (82\/8)\/(((-65)\/40)\/(-13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -842.2 - -842. Let a = -10.4 - -10.7. What is the nearest to k in 1\/7, a, -6\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -52, -42, -32, -22, -12?\n\"Answer: 10*m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5287 + -5269. Calculate the remainder when 6874 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*(-1 - -2)\/7. Suppose 4*h - 19 = -5*z, 8 = 5*h - 0*z + z. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 243221 (base 7) to base 2.\nAnswer: 1010110101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04 and 461.3.\nAnswer: 18.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1268587653.00000132 + -1268587682. Let w = -28.967 - 0.033. Let v = p - w. What is v rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12140 + -13?\nAnswer: -12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 2, -3, -1, -10.\nAnswer: -16, -10, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -20470033 - -12?\nAnswer: -20470021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1581083745 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111042 - 20*f**2 - 222068 + 111044.\nAnswer: -20*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 252 + -180. What is the remainder when 287 is divided by o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34576 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 6  (b) 0.05  (c) 0.2  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/15 + (5 - (-375204)\/45). What is the units digit of u\/15 - 16\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4 = -6. Suppose x*j - 4*c = -0*c + 192, 4*c = j - 86. Let k = -57 + j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25 + -7. Suppose 3*p - 8*p = -3*c + 220, 0 = -4*c - 2*p + 276. Calculate the remainder when c is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/3 + 1208\/24. Suppose 4*z - y = 2*p + 45, p = -z + 24. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffyffyyfyfyyyyfyff. What is prob of picking 1 f and 1 y?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3*z**2 - 182*z - 3. Let v(u) = -2*u**2 + 119*u + 2. What is -5*c(i) - 7*v(i)?\nAnswer: -i**2 + 77*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -539*b + 4318. What is p(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/f**(-2\/5))\/(f*f\/f**4*f))**(2\/51) assuming f is positive.\nAnswer: f**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10911 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11818*u**2 + 15815*u**2 - 24713*u**2 - 12*u**4 + 76*u**3 wrt u.\nAnswer: -288*u + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -185*v - 11196 + 4351 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 5. Suppose -p - g + 2 = 0. Let b be (-5)\/(p\/320*-1). Round b to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/1197 and 64\/95?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -626889900 + 626889900 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.00608004 - -5526507.59391996. Let j = 5526507.21999951 - u. Let v = 0.38 + j. Round v to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -549.3 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140132274?\nAnswer: 2, 3, 71, 211, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 807038238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32139*q**2 - q - 32171*q**2 + 64287*q**2 + q.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -6, -2*a + 3*a - 31 = 4*s. Suppose 0 = -3*b + a + 53. Factor -12*i**3 + 25*i - 32*i - 21*i + 8 + b*i**2.\nAnswer: -4*(i - 1)**2*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -16022476*y**2 - 6*y - 72203667?\nAnswer: -32044952*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2838172 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -10*f**2. Let o(h) = 23*h - 368. Let q(j) = 4*j - 3. Let v(l) = o(l) - 6*q(l). Calculate v(y(p)).\nAnswer: 10*p**2 - 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8*-2 - 415925\/(-26200). Let q = 2 + 3. Which is the second biggest value?  (a) -2\/9  (b) 0.3  (c) l  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that g**3 + 19234*g**2 + 1610364*g + 33780600 = 0.\nAnswer: -19150, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -69 by 2778356.\nAnswer: -69\/2778356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + -1 + (-6*(sqrt(108) + -2) + 5 + 5*(sqrt(108) + -1 - sqrt(108))*-3)**2).\nAnswer: -9820 + 4608*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*x + 25. Let r = x + 9. Let v = 6 - r. Solve 2*d = 4*j - 0 - 4, 7 = -v*d + 5*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 5)*(-2*q**3 + 3*q**3 - 2*q - 2*q).\nAnswer: -2*q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 135077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of -g**4\/6 - g**3\/2 + 16*g**2. Let t(h) = 3*h + 2. Suppose -2*n - 100 = -5*m - 74, 4*n - 20 = -2*m. What is m*t(w) + 5*l(w)?\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 3*c**2. Let i be y(-3). Suppose 3*r - 1732 - 4187 = i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -27 + -4399862?\nAnswer: -4399889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*f**2*s**2 - f**2*s*y**3 + 2*f**2*y - 9*f*s - 8*s**2*y**3 wrt s.\nAnswer: -4*f**2 - 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -13*l + 5. Let f be (54\/(-81))\/(2\/(-27)). Let c(j) be the second derivative of j**3\/2 - j**2\/2 - 3*j. Give f*c(y) + 2*b(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*i**2 + 7*i**2 + 2*i**4)*(-2 + 1 - 1)*(-13 + 17 - 198) to the form y*i**3 + d*i + r*i**4 + o + a*i**2 and give r.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -89*b + 1. Let d(o) = 2*o + 23. Give q(d(h)).\nAnswer: -178*h - 2046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**4*h + 65*c**3 - 2*c**2*h - 2*c*h - 5*c + 2*h wrt c?\nAnswer: -24*c**2*h + 390*c - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/1 - 2813\/203 - -8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37298 plus 1771028.97?\nAnswer: 1733730.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 44, 135, 314, 611, 1056, 1679, 2510?\nAnswer: 3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28081132 divided by -389.\nAnswer: -72188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 2 = 4*a. Let z = -7.28 + 7. Is a smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -23*d. Suppose 263*y = 268*y - 10. Let h(c) = -3*c**y + 2*c + 4*c - 6*c - 3*c**2. What is j(h(z))?\nAnswer: 138*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 5*n + 288 = 11*n - 23*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -207090026*h**3 + h**2 + 3*h + 2. Let v be l(-1). Let k be v\/117 - (-4)\/(-18). Round k to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - y - 1. Let t(l) = l**3 + l**2 - 8*l. Let b(c) = -3*p(c) + t(c). List the prime factors of b(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -135 + 117 + 1 + 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*j = -11*j - 41360. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 4 - (-5 + 3 - 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 306 + 3*b - 306.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85906742?\nAnswer: 2, 42953371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -413600 * 16\nAnswer: -6617600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1093184 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54016731 is divided by 332?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, 10, -9.3, -4, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 9:09 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - 3 + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -21  (c) -1\/2  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75331 or 1\/6?\nAnswer: -75331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -152311 (base 10) to base 16.\nAnswer: -252f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 287 = -m - 573, 4*o = 2*m + 856. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7803421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4925517599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 300 + -1.77234.\nAnswer: 298.22766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-86)\/(-43)*(-119)\/14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*r - 12460 = -12*r. What is the remainder when r is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - 3. Let k = 1285\/7 + -184. What is the second biggest value in k, m, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5816*w - 866 - 66782 = 83568 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 265?\nAnswer: -1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 5*b + 1585, 0 = -7*b + 6*b + 2*u - 329. Let y(s) = -s**3 + 10*s**2 - 20*s + 28. Let k be y(8). Put -2, 0, k, b in descending order.\nAnswer: 0, -2, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*l + 46*l - 1666 = 0. Let o = -4 + 18. What is the lowest common multiple of l and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - d = 32133998, 19*u - 5*d = 14*u + 80334990. Round u to the nearest one hundred thousand.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.9 - -2.3. Let r = -2 + 2. Let s be (-1)\/(r + -3)*1. What is the closest to 1 in d, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1762)\/(-1)*1*(-3 - -2)*-1. Which is smaller: 1759 or p?\nAnswer: 1759","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -32*b**3 + 1268*b**2 + 478*b + 111. Give h(40).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94.08204 grams to micrograms.\nAnswer: 94082040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, n: 8, y: 3, j: 1, x: 1}. What is prob of picking 2 b and 2 n?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 197947601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 376 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3*r**3 - 2*r**2 + 2*r - 2. Let d(b) = 7*b**3 + 5*b**2 - 5*b + 5. Let a = 10 + -12. What is a*d(p) - 5*c(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/820 and -9\/32.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y + 6. Let d be n(5). Let q = d - -7. What is the second derivative of 2*j**5 + j - q*j - 4*j**5 wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -31*z - 1654. Calculate a(-66).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1457.926 + 1665001.926. Let u = 1663543.85499485 - v. Let q = 0.145 + u. Round q to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 423400 by 73.\nAnswer: 5800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30 + 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, r: 2, q: 5, j: 1, b: 3, k: 1}. What is prob of sequence bjb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2742?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 5575058000 to the nearest one million.\nAnswer: 5575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35389.12km to meters.\nAnswer: 35389120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 221\/(-5)) + (-247)\/(43225\/(-490))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -g - 39. What is the first derivative of 5*p - 46 - g*p + 42 wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1265.7 + 1212. Let t = -54 - k. Let z = 0 + t. What is the biggest value in 2, z, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 9*i. Which is bigger: i or 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of -41*a**7\/42 - 6*a**6\/5 - 3371*a**4\/12 - 1135*a. Find the third derivative of x(f) wrt f.\nAnswer: -2460*f**2 - 864*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 4:48 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z. Let k(r) be the third derivative of -551*r**4\/3 + r**3\/3 + 12278*r**2. Calculate k(c(o)).\nAnswer: -17632*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 54 divided by 6788\nAnswer: 27\/3394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 61\/19 + -385\/114. Which is the second smallest value?  (a) i  (b) 1  (c) 0  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -16 from -7415005.\nAnswer: -7414989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-5)*(0 - (-60)\/6). What is the biggest value in -5, -1\/7, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3637 divided by 5\nAnswer: 3637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203*u - 297*u + 3501 = -483*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2739, 2791, 2877, 2997, 3151, 3339, 3561?\nAnswer: 3817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-585)\/(-546)*(-3 + -18)\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4*f + 18 = 0, -2 = q + 3*f - 19. Let i(r) = -5*r + 6*r**2 + 3*r + q*r. Let j(o) be the third derivative of -o**5\/30 + 2*o**2. Give j(i(n)).\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 2*r - 4 = 0, 16*r - 13*r + 1758 - 1746 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -199.67238614 rounded to 2 decimal places?\nAnswer: -199.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1113904189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a**3 - 2*a**2 - a. Let w be k(-1). Let q(z) = -6*z - 33. Let n be q(-6). Suppose -n*p = 2*j + 2*p - 19, -p - 10 = 5*j. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**2 - 4*o - 1. Let f(h) = -h + 1. Let s(d) = d**2 + d - 7. Let g(y) = 6*f(y) + s(y). Calculate 3*g(j) - 4*i(j).\nAnswer: -5*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 138, 213, 402, 759, 1338, 2193?\n\"Answer: 9*q**3 + 3*q**2 + 3*q + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k + 11. Let v be y(-7). Suppose v = -0*n - n. Let s(j) = -5*j. Calculate the least common multiple of 14 and s(n).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3*i - 7. Let j(f) = -f. Let v(y) = -4*j(y) - m(y). Let d(x) = x. Let p be d(-5). Let o be v(p). Are o and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13326 = 21*j + 474. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -593971 by -26.\nAnswer: 593971\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/(-96))\/((-2)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -5.66\nAnswer: 1.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/(-56) - (-8)\/21. Let d be ((-4)\/(-16))\/(1\/4). Which is bigger: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {z: 3, a: 2, e: 13}.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, -3, -44, -123, -252?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 - -22. Let i = -9 + r. Let n = -0.16 - -0.06. What is the smallest value in n, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (869 - 186 + 397 + 39)*(-a + 5*a - 2*a) to s + c*a and give c.\nAnswer: 2238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6281095365014 - -0.3.\nAnswer: -6281095365013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1822 a factor of 1243505505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104, 218, 344, 488, 656, 854?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12359066 divided by -6179533.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.5961052 less than -2.72893?\nAnswer: -27.3250352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 119835756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of p**4\/6 - p. Let h(t) = -2*t. Calculate h(z(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, f: 12}. What is prob of picking 4 f?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v = 990 + 18390. Let u be v\/6 - (-8)\/16. Calculate the highest common divisor of u and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 65.62 + -65. Let t = o - 0.02. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*j - 5224956 = -257*j + 71*j. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 5 - 8 = -4*t, -2*t + 4*h + 24 = 0. Suppose s - t*i - 16 = 0, 4*s = 3*i - 7*i + 112. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -z**8\/1680 + z**5\/24 - z**3\/3 + 6*z. Let o(p) be the second derivative of v(p). Find the second derivative of o(a) wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003038 rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8862350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, d: 4, e: 5}. What is prob of picking 2 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1804 divided by -5\nAnswer: 1804\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -3 + 161*l**2 - 2*l + 2 + 8*l**3 - 162*l**2 + 0. Let h be (-1)\/(-2)*(-3 - -1). Determine q(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 543817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 423911.\nAnswer: 73, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 18 + 7*v**2 + 22*v**3 + 10*v**3.\nAnswer: 32*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 17797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 - 13*m**2 + 19*m + 37. Let q be s(11). Put -1\/2, q, 3 in ascending order.\nAnswer: -1\/2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 - 13*s**2 + 15*s + 15. Let z = 17 + -14. Let r = 9 + z. What is the remainder when v(r) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1*-6)\/(9\/(-12)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -10*v. Let q(a) = -a + 2. Suppose m + 0 = 4. Let f be q(m). Is z(f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**(2\/9))\/r)**(2\/99))**(4\/5) assuming r is positive.\nAnswer: r**(8\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g - 5 + 680*g**2 + 11 - 7 to p + b*g + z*g**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**4 + x**3 - x**2 - x. Let i(b) = 6*b**5 + 5*b**4 + 5*b**3 - 5*b**2 - 9*b. Let a(h) = i(h) - 5*s(h). What is the second derivative of a(m) wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -3*z**3 - 13*z**2 + 45*z + 170. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.48768 and 5317?\nAnswer: 2592.99456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 + 54 = -14*n. Let f(q) be the second derivative of q**4\/12 + 11*q**3\/6 + 3*q**2\/2 - 2*q. Let s be f(n). Solve 4*m - 4 = -5*y, 2*y = m + s - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 5:19 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14728898 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -3*m**3\/2 - 7*m**2 + m. Let l(i) = 10*i + 134. Let w be l(-13). Let f(r) = 3*r + 5. Calculate w*u(k) + 11*f(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -136599, -136427, -136255, -136083, -135911?\n\"Answer: 172*w - 136771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 43*q**2 - 25*q**4 + q - 11*q**4 - 8*q**2 - 6*q**2 - 18*q**2 + 24*q**3 = 0.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 800 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 8:04 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n**(-20))*n*n\/n**(-5)*n*n**(-18)*n**(2\/19)\/n assuming n is positive.\nAnswer: n**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2 + 22*z + 60. Let f be w(-5). Suppose -5*b + f*g - 4*g = -137, 0 = b + g - 28. Calculate the remainder when 77 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234*r + 231*r = -60108. Suppose -r = 13*h + 13855. What is h rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -18. Suppose 21 - n = -5*t. Calculate the least common multiple of (-10)\/t + 5\/(-15) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -84.809102431 - -84.809. What is g rounded to six decimal places?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n + n + 6 + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-669 + 324 - 445 + 2*l)*(2 + 4 + 3) to i + v*l and give i.\nAnswer: -7110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1*55)\/(0 - (2 + -1)). Let q be 2\/(2 + 4) + g\/15. What is the derivative of 4*a - 1125 + 1135 + q*a wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-99)\/24)\/3 - -1 - (187590\/(-14352))\/65?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.74 rounded to 1 decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -149 + 449\/3. What is the biggest value in -1, n, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*z + 3. Which is the biggest value?  (a) z  (b) 1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2507565660 and 2507565659 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -86*u + 101 + 254*u - 84*u - 85*u. Is 10 a factor of c(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -73649, 2, -6 in ascending order.\nAnswer: -73649, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121120110002 - 11?\nAnswer: -121120110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -658 divided by 219475?\nAnswer: -658\/219475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 5:42 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 4916\nAnswer: 19664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 9*x**2 + x + 2. Let q(i) = -17*i**2 - 2*i - 4. What is 11*k(v) + 6*q(v)?\nAnswer: -3*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - -1 - -5 - 2. Suppose g*s + 15 = 0, 0 = 3*v - 4*s - 8 - 21. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 10 - 22 + 15 - 2. Let b(c) = c - 1. Calculate -b(f) + 3*n(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from mmmmmdmmddmmmmmmmm?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 540\/(-1350)*(-1 + (-18)\/(-13)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -48*k**2 + 321*k + 336. Let s(n) = 3*n**2 - 20*n - 21. Suppose -2 + 4 = -r. Let j(l) = r*b(l) - 33*s(l). Factor j(c).\nAnswer: -3*(c - 7)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -63, -139, -229, -339, -475?\n\"Answer: -f**3 - f**2 - 66*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s. Let i(c) = c**2 - c - 1. Let g(w) = -10*w**2 - 4*w - 8. Let b(m) = -g(m) + 4*i(m). Calculate b(x(y)).\nAnswer: 14*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -95, 0, 1.\nAnswer: -95, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -338 + 0*j**2 - 2*j**2 - j + 345 to l + v*j + q*j**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {d: 1, g: 7, m: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5292623 and 9008720?\nAnswer: 423409840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 510*p**2 - 1527*p**2 + p + 488*p**2 + 500*p**2.\nAnswer: -29*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 391 = -3*k - 83. Let w = -38 - k. Suppose 29*t = 28*t + w. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + 0.1. Let v = -4.05 + 0.05. Let m = 0.2 + -0.2. Which is the nearest to i?  (a) m  (b) 2\/9  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y**2 + 41*y - 6. Determine j(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 735 and 4851.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8 or -1\/920987?\nAnswer: -1\/920987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 58*y**3 - 10. Let a(k) = 23*k**3 - 4. Let c(u) = 12*a(u) - 5*v(u). What is the derivative of c(f) wrt f?\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 20, -331, -562, -679, -688, -595?\n\"Answer: -c**3 + 66*c**2 - 542*c + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -69\/664387 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552088 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -408 * 6379\nAnswer: -2602632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*y**2 - 175*y + 370 = 0. Calculate y.\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1877*h**3*t*y**3 + h**3*y**3 - 82*h**3 + 2*h**2*t*y**2 + 153*h*t wrt y.\nAnswer: -11262*h**3*t + 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(78)*-1)\/(sqrt(294)*2) + -4.\nAnswer: -4 + sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/17*u**2 - 2\/17*u**3 + 0 + 0*u.\nAnswer: -2*u**2*(u + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -0.5, -0.2, -2\/15, 75?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tct when three letters picked without replacement from {t: 4, i: 1, c: 2, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 99 + -104.3. Let g = v - -1.3. Let h = -0.5 + -2.5. Which is the smallest value?  (a) h  (b) g  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -17173*w + 17175*w + 23, -3*w + 19*y - 35 = 23*y for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 + -116 + (-44 - -47).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, e: 1, q: 2, j: 1}. What is prob of sequence jqz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 212 + -210. Let r(j) = -j**3 + 2*j**2 - j + 4. Let p be r(c). Calculate the greatest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -506\/34295?\nAnswer: -506\/34295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32335\/9 - -3586. Let y = -1509\/26 - -540\/13. Find the common denominator of r and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s**2 + 11*s**2 + 12*s**2 + 20*s**2 + 13*s**2 - 3*s**2.\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 + 5*f - 4. Let m be w(3). Find the third derivative of 4*a**4 - 14*a**4 + 2*a**2 - 8*a**m wrt a.\nAnswer: -240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2, -15, 99, -3.8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 6, r: 11, y: 2}. Give prob of picking 2 r and 2 y.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.015015 to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112210 + -11?\nAnswer: 112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 14 = 4*i, -214*p - 14 = 3*i - 212*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*-3*(-1 + 2). Suppose -2*r + 53 = -o - 17, d*o + 175 = 5*r. Let w be (13 - 6) + (-3 - -1). Calculate the highest common divisor of r and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 520061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1511*x**3 + 5*x**2 - 137*x wrt x?\nAnswer: -9066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4368 - 2*z - 2*z**2 + 6*z**3 - 4368 - 3*z**4 to j*z**3 + n*z**2 + m*z + c + s*z**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 15*r**2 + 11*r - 18. Let x(v) = -v**3 + v**2 + 2*v - 2. Let n be x(3). What is the remainder when s(n) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 36 = 2*b + 2*b, 4*b + 36 = -4*t. Let a = -11 - b. Is 0\/a + 26 + -1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (2 + -1 - (30 + -36))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 13*c**2 - 3*c + 3*c**3 - c**3 + 2*c + 4*c + c as f*c + h*c**2 + o*c**3 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/747783 and 73\/1224?\nAnswer: 101698488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -69.35 in increasing order.\nAnswer: -69.35, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(-2*sqrt(3)) + 0 + (sqrt(12) + 0)**2 + (1*sqrt(3))**2*2.\nAnswer: -sqrt(3)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m**2 - 68. Let y(a) = 22*a + 2963. Determine y(d(k)).\nAnswer: -44*k**2 + 1467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1352822 + -1a?\nAnswer: 1352807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -92321 or -461606\/5?\nAnswer: -461606\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 3*y**2 + 6*y - 6. Suppose z - 2*a - 2 = 0, -z - 5*a + 1 = -2*z. Let g be o(z). Let p(b) = b**3 - 4*b**2 - 1. Give p(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -2*x + 57. Let t be 4\/(6 + (-12)\/((-1824)\/458) + -9). Calculate the highest common divisor of t and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25 + 27. Suppose -a*b = 2*l - 3092, 3931 = 3*b + 5*l - 711. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 0 + 0 - 8*g. Let n be (-18)\/45 - 74\/(-10). Let a(j) = 9*j. What is n*x(m) + 6*a(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -10*m - 10. Suppose 4*a + 2017 - 2029 = 0. Calculate h(a).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*h + 2 = 0. Suppose -4*t = -5*z + 6, 5*t = 3*z - 0 - h. Let n(b) = -4*b - 14. Let c be n(-4). Is c <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2237 - 2233. Solve f*s + l = -23, 4*l = 5*s + 9 + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*x + j, -2*j = x - 5 - 5. Let t = 0 - 0. Solve 3*s + 0*y + y + 11 = t, x = -3*y - 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34 - 27. Calculate the lowest common multiple of 17 and p.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h - 1. Let l be o(6). Suppose 0 = 3*g + 12, k + 5*g + 92 = l*k. Calculate the smallest common multiple of k and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 106\/(-22) - 7\/(847\/22). Put 3, -1, 1, o in decreasing order.\nAnswer: 3, 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 3 = -3*k - 12, -4*w = -2*k + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -193307 + 193390.529. Let v = 1.371 + j. Let w = v + -90. Round w to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/6*(-1 - (-457 + -6)). Determine h, given that -69*h - 167 + w - 30*h**2 - 3*h**3 - 183 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09662389 - -0.4.\nAnswer: 0.30337611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - 12*y**2 - 2*y - 2. Let z(f) = 2*f**3 + 23*f**2 + 4*f + 4. Let t(w) = 11*k(w) + 6*z(w). Let l be t(-3). Do l and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.11  (b) 31  (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 459 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 10 - 0. Suppose -w*c = -83 + 8. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -5*j**4\/12 + 18*j + 25. Let s(q) be the first derivative of g(q). Let l(b) = 6*b**2. Give s(l(z)).\nAnswer: -180*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1032774 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*f**4 - 8563*f**3 + 70*f**2 + 876547505*f?\nAnswer: -72*f**2 - 51378*f + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -106256, -106272, -106288, -106304?\nAnswer: -106320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 58663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 9*f**2 - 17*f + 6. Give k(10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 76193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-15 - (-6 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - 1)\/(1 - -2). Let y be 27\/(-30) + (-14)\/(-28). What is the nearest to a in y, -2, 5\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-4)*(22 - 28). Suppose -3*p - 4*i + 12559 = 0, p + p = -x*i + 8372. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/75*-10)\/(8\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-30)\/(-32))\/(159\/(-212)). What is the third smallest value in -5, -2, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 - n - 4. Let b be s(3). Let t be (-52)\/(-40)*5\/b. Is 3 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*(sqrt(190)*-1 - sqrt(190)))\/(-2*sqrt(1000) - sqrt(1000)) + 5.\nAnswer: 2*sqrt(19)\/15 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 3 - -6)*3\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -m**2\/2 - 5*m - 2. Let o(j) = -2*j - 6. Let u be (790\/10270)\/(3\/(-117)). Give u*o(n) + 4*s(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 8*a**3 + 2*a**2 - 6*a - 6. Suppose -4*t - 4*s + 16 = 0, 3 = -3*s + 2*s. Let k(j) = 9*j**3 + 2*j**2 - 6*j - 7. Calculate t*q(o) - 6*k(o).\nAnswer: 2*o**3 + 2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpddxdzv. Give prob of picking 1 z and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 419*z + 217*z = -102*z + 72*z + 13320 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 5:40 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 0*j - 12 = 0. Find the second derivative of -2*n - 4*n + 3*n**j + 0*n**4 + 4*n wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32659 * -1111\nAnswer: -36284149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51 + 19080\/(-371) - 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 491 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*i - 1 + 1)*(1 - 3 - 11*i + 0) to c + u*i**2 + l*i and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 37  (b) -2\/8979  (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22 + 21 - 72)*(15 - 15 + 7*a**2) + 3 + 2*a**2 - 3.\nAnswer: -509*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*f + 26. Suppose f = 5*d - 12. Let u(b) be the first derivative of b**4\/4 - b**3 - b**2\/2 - 4*b + 18. Give u(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*c + 59*c + 425 = 20*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 469833757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -3. Let n(p) = -4 - 2*p**2 + 5*p**2 + p - p**3 + 2*p**2. What is the units digit of n(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 414 - 264. What is the greatest common factor of d and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -4*y. Let z(i) = 130*i**2. Calculate z(f(h)).\nAnswer: 2080*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 23669.3103, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is j in j**2 - 94504*j + 2232751504 = 0?\nAnswer: 47252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-225)\/12 + (273\/56 - 5)*(53 + -51).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - -19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of i**6\/120 + i**5\/30 - 5*i**4\/24 - i**3\/3 + 8*i**2. What is the smallest common multiple of w(-3) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 3*i + 18250, -3*i - 9114 = -2*c - 7*i. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 6 - (0 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 590844, 590857, 590884, 590931, 591004, 591109?\nAnswer: 591252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1928, 1855, 1730, 1553, 1324, 1043, 710?\n\"Answer: -26*d**2 + 5*d + 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 2*h + 2. Suppose 2*t + 1 = -3. Let m be w(t). What are the prime factors of 34\/4 - m\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 5*a - 1857, 1018 = 2*k + a - 2674. What are the prime factors of k?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 929855146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -32, -61, -90, -119?\n\"Answer: -29*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 44*y - 40. Let c be r(43). Suppose -c*o = -k - k - 239, -3*k = -5*o + 398. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.51 + -2.509985. What is z rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -4. Suppose j = 4*a - 11*r + 8*r, 0 = -5*a - 3*r + 32. Solve x - 16 = -a*t, -2*t + 2 = -0*x - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/4)\/(1\/(-36)). Let m be 1\/(-1 + j\/(-15)). Let u(f) = -f + 5. Let q be u(5). Solve q*v = m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26a5486 (base 12) to base 10\nAnswer: -7681638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -17. What is the remainder when a is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 601187497 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 145250503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 416723371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 715049.2 micrometers to centimeters.\nAnswer: 71.50492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4075 or -2\/17?\nAnswer: -4075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*o = -4*j - 24, 0 = -2*o + j - 4. Suppose -60*z + 1956 = -712*z. Put -1, -12, o, z in increasing order.\nAnswer: -12, o, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {u: 3, d: 4, o: 6}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 11:31 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 389247.4ug in kilograms?\nAnswer: 0.0003892474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 10:03 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 69, 107, 143?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/2*(-7 - -5) + 14. Suppose v + 3*l + n = 0, 3*l = 4*v - l - 28. Solve 0 = w - v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1105, 2210, 3315?\nAnswer: 4420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17254389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -306136660800 to the nearest 1000000.\nAnswer: -306137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 582 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1094 - -1091. Which is the nearest to v?  (a) -5  (b) -1\/3  (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3\/4*r**3 + 147\/4*r + 0*r**2 + 0 = 0. Calculate r.\nAnswer: -7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pwkmfku. Give prob of sequence uffu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9521 + 9510. Let s = 0.03 + -2.03. Which is the second smallest value?  (a) v  (b) s  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d*y**3 - 20676*d*y**2 - 23949955*y**4 + 79*y**2 wrt y.\nAnswer: -6*d - 574798920*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of 17*j**4\/24 + 7*j**3\/6 - 4*j**2. Let y be b(4). Let u = y - 18. Calculate the greatest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 64103, 64124, 64165, 64226?\n\"Answer: 10*q**2 - 9*q + 64102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-4240)\/(-20670))\/(48\/260)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6999*y**3 + 7001*y**3 - 20986*y**3 + 7014*y**3.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 62.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/(-6))\/(6\/4). Let i = 7499 + -7502. What is the second smallest value in i, -3\/4, d?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of 313*s**5\/20 + 73*s**4\/6 + 3*s**2 + 876*s + 2. Find the third derivative of y(g) wrt g.\nAnswer: 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t - 2. Let p be u(5). Suppose p*z = -6 + 51. Solve r + 3 = 3*c - 6, -5*r = z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**5 - u**5 + 0*u**2 - 4*u**2 - u**5 + 0*u**4 + 0*u**4 + (u - 3*u + u)*(-2*u**4 - 2*u**4 + 5*u**4) - 4*u**5 - 2*u**5 + 4*u**5.\nAnswer: -3*u**5 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - 4.4. Let r = s - -3.8. Which is the biggest value?  (a) 0  (b) 1\/6  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 13.12  (b) 7  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 18 = -z, -5*s - 14 = z - s. Suppose r - z*b - 146 = 0, -366 - 99 = -3*r - 3*b. What is the greatest common divisor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 203974\nAnswer: 61192.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227736.\nAnswer: 2, 3, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 738 divided by -2\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/10)\/(2\/8). What is the first derivative of 1 - a + 2 - 2*u**2 - 2 wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (-1545)\/(-96672)*-82. Let o = h + -2\/1007. What is the common denominator of 57\/10 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 65944.82g?\nAnswer: 0.06594482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1014 and 1742?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-12)\/s*s*s*s**(1\/2)\/s)\/(s**(-6)\/(((s*s*s**16*s*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 832 and 10226320.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -84671?\nAnswer: -3\/84671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-5)*2\/(-4). Let l be -4 + 4 + (-12)\/(-9). Let r = 117 - 583\/5. What is the closest to 1 in l, r, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1906 + -586. What is the highest common factor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**5\/10 + 25*g**2 - 39*g. What is the derivative of j(m) wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 4 + 4)*((15 - 4 - 4)*(0 + 0 + 2) + (0 + 2 - 1)*(-1 - 2 + 2) + 0 - 1 + 3 + 3 + 0 - 2).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -68 - -1294\/19. Sort 0.3, 2\/37, b in ascending order.\nAnswer: 2\/37, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i - 3*i + 0*i + (3 + 0 - 1)*(-i + 4*i + 2*i) - 3*i + 2*i + 2*i + (5*i - 2*i - 2*i)*(-3 + 11 + 5) to p + b*i and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43374*q - 7670*q + 53181*q - 18735*q.\nAnswer: 70150*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6854450*k**3 - k**2 - 10319930 with respect to k.\nAnswer: -20563350*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -20*o. Let s = -14343 + 14341. Let h(c) = 39*c - 1. Calculate s*h(y) - 5*m(y).\nAnswer: 22*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10026 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13438610*k**3 + k**2 - 10662102*k - 1 wrt k.\nAnswer: 80631660*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 782367.1 centimeters to kilometers.\nAnswer: 7.823671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = b + 3*z + 89, -2*z - 166 = -4*b. Let t = -31 - -47. What is the greatest common factor of t and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56696, 115460, 174224, 232988?\nAnswer: 291752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*g - 6. Let b be 0\/((-63)\/77 + 2\/(-11)). Let r(z) = 4*z. Let o be r(b). Put -4, o, g in decreasing order.\nAnswer: o, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1, 23, 59, 109?\n\"Answer: 7*g**2 + g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 8:28 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*h**3 - 2*h**2 - 5*h**3 + 2*h**4 + 3*h**3 + 5 - 4*h**4 in the form d*h**3 + v*h + q*h**2 + o + b*h**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r**3 + 11*r**2 - 8*r + 12. Let u = 12 - 13. Let i(l) = l**3 + l**2. Let x(d) = u*k(d) + i(d). What are the prime factors of x(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -5. Let z(x) = -x**2 + 5*x + 7. What is the units digit of z(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38\/12*(37 + -1 - 34)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40 + -48. Let t = 7 + k. Let j = 0.85 + t. What is j rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 799802 is divided by 3007.\nAnswer: 2947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -18 + (9 - (36 + -12)) + 56\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 199*s**2 + 2*s - 3. Let f be b(1). What is the greatest common divisor of f and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -17, 12, 79, 196?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 10366498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -9167248 divided by 92.\nAnswer: -99644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/5 + 56634*f**2\/5 + 14225868*f\/5.\nAnswer: -2*f*(f - 28566)*(f + 249)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -111100001000000110101 (base 2) in base 5?\nAnswer: -1001021404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -17.08059.\nAnswer: -13.08059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.00405 + -1.06124. Let p = m - 0.938. What is p rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1062 = -3*j - 378. Let s = -368 - -376. Suppose 4*p - 4*d = -s + j, 3*p - 190 = -2*d. Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.55 - -11.55. Let i = o - -5. Which is the third smallest value?  (a) i  (b) -4  (c) 1  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 4. Suppose 2*p - 8 = 2*u - 2, 5*u + 11 = 3*p. Let v be g*-2*p\/6. Solve -32 = -5*o + v*i + 3, 0 = -2*o - 2*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9709808 less than 9709826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41 + -4. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-56 - 473\/(-43)) + 59)*(-1 + 0)*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, h: 1, m: 2, z: 9}. Give prob of sequence zwz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*i - 41*i - 25 = -4*j, i + 6 = j. Let u be j\/21 + 15\/63. What is the nearest to u in 3, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j + 40. Let m be v(21). Let p be (-57)\/(-135) - m\/(-10). Let -2\/9*y**3 + p*y**2 + 4\/9*y + 0 = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10 - -622?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -49, -75, -103, -133, -165, -199?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299786811123 - 299786811123 - 26*v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -13*r**3 - 3*r**2 + r + 1. Suppose -32 = 2*h - 34. Let b be i(h). Let c = 21 + b. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 1 + 3)*(0 - d + 0) + 4 - 4 - 2*d)*(-2 + 4 - 3) as i*d + a and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-7)*4\/6. Let z = m + -31\/42. Which is the closest to z?  (a) -0.4  (b) 0  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -132 - -130. Let l be (-16)\/(-8)*y\/(-36). Put -0.8, l, -4 in decreasing order.\nAnswer: l, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 4*b - 86, 3*b - 4*m - 6 = 42. Find the third derivative of 664*p**3 - 664*p**3 - 2*p**2 - b*p**4 wrt p.\nAnswer: -480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 2\/3  (b) -143.25  (c) 1  (d) -4\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + k - 30 = 0, 0*o - 5*k = -3*o + 58. Let c = 40409 - 40313. What is the greatest common factor of o and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -447.\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 2*a + 4*a)*(3*a**2 - 2*a**2 + 0*a**2).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19026 + 29988 = 95*c + 94*c for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*d = -10*d - 4440. Suppose -d*u = -180*u - 10. Calculate the highest common divisor of u and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/(-3)*(-37)\/(185\/(-70200)).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3 + 14*d - 7*d + 3. Let t = 10 + -7. Let m(i) = -3*i - 4*i + 2*i + t*i. Determine -6*b(h) - 22*m(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mjj when three letters picked without replacement from mvvvjvvmumujumvmv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-1 + (1 - -1) - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 621283708 and 14.\nAnswer: 4348985956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**2 - 2*g. Let n(r) = 248*r**2 + 217*r. Let p(t) = n(t) + 62*v(t). Find the second derivative of p(i) wrt i.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 6:07 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 44, 50, 56, 62?\n\"Answer: 6*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.11  (b) -16  (c) 3  (d) -4  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50327 by -853.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, u: 4, z: 1, y: 3}. Give prob of picking 1 z, 2 u, and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**3 + 3*n**2 + 7*n + 5. Let m(c) = -c**3 - 4*c**2 - 7*c - 4. Let k(o) = -2*d(o) - 3*m(o). Let l be (-7)\/(-1)*(25 - 24). What is k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (294\/(-84))\/((-4)\/16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -3 - ((-31 - -16) + 6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iuuiiuiv. What is prob of picking 1 v and 2 u?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*t - 12 = 0. Suppose t*b - 8 = 4. Solve -2*q - 11 = q + x, -3*x = -b*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2242, -4167, -6128, -8143, -10230, -12407?\nAnswer: -14692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7500 + 4728?\nAnswer: -2994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/(-2))\/((-30)\/260). What is the common denominator of 143\/12 and 0 + 623\/(-260) + 2\/t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - (2 - (-15)\/(-9)))*6. Suppose 9190 = 3*z + 6*a - a, -z + 3069 = -x*a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -6*a + 7. Let z be c(3). Do -35\/3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -373, -1, 6 in descending order.\nAnswer: 6, -1, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 551863978 a multiple of 2066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 27 - 35. Suppose k*o - 3*q - 6 - 64 = 0, 2*q = -o + 35. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1258500 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 452*c**2*g**3*s**2 - c*g**3*s**2 - 2*g**3 + 3*g*s**2 - 85*g with respect to c.\nAnswer: 904*c*g**3*s**2 - g**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 10718197*s**2. Let d(z) = -2*z. Calculate h(d(y)).\nAnswer: 42872788*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s + 2*s - 3*s**3 + (-4*s**2 + 4*s - 4*s)*(s + 2*s + 0*s + (0*s + 0*s - s)*(3 + 2 - 3)).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of o**5\/30 + o**4\/6 - 3*o**3 + o**2 - 20. Let b be t(-21). What is b rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, -250, 2 in decreasing order.\nAnswer: 4, 2, -2, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -953320, -953269, -953218, -953167?\n\"Answer: 51*m - 953371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -113*v + 456. Let m be n(4). Let t = -4.4 + 4. What is the closest to -2\/13 in t, -4, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1782)*1 - sqrt(1782) - sqrt(1782))\/(sqrt(396)*-4 - sqrt(396)).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4670, 18671, 42006, 74675, 116678, 168015?\nAnswer: 228686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of n**5\/15 - n**4 - 32*n**3\/3 - 33*n**2\/2 + 61*n. Let c(w) be the first derivative of g(w). What is d in c(d) = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2646146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 55 and 26420.\nAnswer: 290620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/22078294 and 25\/12616168?\nAnswer: 88313176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6684 - 6?\nAnswer: -668a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -21*p + 26*p. Suppose s - 10 = -p. Suppose -2*n + 3 = -1. Is s bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 1472*d**3 - 6*d**2 + 3*d + 6. Let k(b) = -17665*b**3 + 70*b**2 - 35*b - 70. What is 3*k(z) + 35*l(z)?\nAnswer: -1475*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*(9\/12)\/(6\/20). Let j be 1230\/50 - (-2)\/a. What is the highest common divisor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 390745 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 17 - 297. Suppose 4*y + 4*h + h - p = 0, 2*y - 3*h = 162. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8784 = 1362*s - 6438 - 2484 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -180 + 180 - 6*p**2 to the form q*p + a*p**2 + h and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-17685)\/(-1605) - 11)*(11 + -10)*-1.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1710 is divided by 832?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 80\/323 - 77846\/311695. What is the second smallest value in -1\/4, -1, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1012465 (base 7) in base 9?\nAnswer: -203851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**6\/420 + 23*v**5\/105 + 47*v**4\/84 - 157*v**2. Find j such that k(j) = 0.\nAnswer: -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(0 - (-8)\/52). Suppose -a + 1 = -4*d + 4*z, d = -2*z. Suppose 1 = g - d. Solve -g*o - 2*x + 12 = 0, -o + x + 0 + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -366394, -366413, -366466, -366571, -366746, -367009, -367378?\nAnswer: -367871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 46.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97*o - 23*o - 421*o - 292*o.\nAnswer: -639*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006324647 to 6 dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 22420?\nAnswer: -22421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 15*l + 4. Differentiate -46*b**l + 20 + 24 + 98*b**2 - 43*b**2 + 152*b**2 wrt b.\nAnswer: 322*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v - 354*v**2 - 372*v**2 + 736*v**2 + 44*v.\nAnswer: 10*v**2 + 33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/(312\/9))\/(35\/(-20))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007359431 rounded to 5 decimal places?\nAnswer: 0.00736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 38 + -38. Suppose p*r - 357000 = -4*r. Let i be (r\/49)\/(2\/(-2800)). What is i rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g + 4. Let n = -5 - -5. Let f be (-2 - n) + (-9)\/3. Give w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 394 = -5*o - 4*x, 5*o - 414 = x. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 16*l + 19. Let i be u(11). Suppose 57*r + i = 60*r. Calculate the remainder when r is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/24 and ((-25)\/(-16))\/(12\/(-80)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 252466.8624277 - 248.\nAnswer: 252218.8624277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 divided by 5.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-12)\/(-10)*19940\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 37 - (-19 + 5) - 24\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 200\/(-36) + 3 + 0 + 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 + (-14 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*r + 63*r = -5*d - 146, 2*r + d - 134 = 0. Solve 5*f = -30, 2*f = -67*a + r*a - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 4)*(-129 + 4*v + 129)*(0*v**2 + v**2 + v**2).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -34  (b) 1\/3  (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/((-17)\/(119\/21)). Let b(r) be the first derivative of -3\/16*r**4 + c*r**3 + 0*r**2 + 8 + 0*r. Factor b(g).\nAnswer: -3*g**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 68945 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 14. Let h be a(12). Solve -2*z = h*i, 2*z - 3*i = -i - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2221872*n + 67431609?\nAnswer: 2221872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**23))**45)**(-25) assuming t is positive.\nAnswer: t**25875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 5*g + 645. Let m(i) = -3*i. What is m(h(q))?\nAnswer: -15*q - 1935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1845900 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1464533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/11 in 112, -1\/34, -2?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.25 or -4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -326*g + 5*g - 942*g - 535*g + 255*g.\nAnswer: -1543*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 1288 divide 122288517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + 103. Let s = u + -80. Which is the smallest value?  (a) s  (b) 0  (c) 0.1  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 432\/(-212) + 4\/2. Let i = 6 + -5. Which is greater: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40712603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11484, 22000, 31538, 40104, 47704, 54344, 60030, 64768?\n\"Answer: d**3 - 495*d**2 + 11994*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60 + 241\/4. Factor 0*m - 1\/4*m**5 + 1\/4*m**3 - 1\/4*m**2 + w*m**4 + 0.\nAnswer: -m**2*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -6*y - 16. Let o be i(-4). Which is the nearest to -1?  (a) o  (b) 0.4  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1 + sqrt(117) + -2)**2.\nAnswer: -6*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 38 = 35 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 141 and 27.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1751.705 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 125 - 136. Let p = 14 - f. What is the second derivative of 15*q - 14*q**4 + p*q - 25*q**4 wrt q?\nAnswer: -468*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 148*u**3 - u**2 - 51*u**3 - 2*u**2 in the form m + s*u + q*u**2 + d*u**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 3*o - 5*u, -2130*o + 4*u + 21 = -2133*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - 2) + (29 + -54 + 31 - 20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 31700925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-2) - (-8 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 211181 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((40651\/78)\/(-53) - 3\/6)*3\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6575*d + 3089*d + 352752 - 1555106 = 9305*d for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2 = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 - -1. Let j(u) = -u**2 - 3*u - 1. Let t be j(-3). Let x = t + n. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -4*w + 136. What are the prime factors of u(14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-156)\/(-12) - 575\/45.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.26631 to 2 decimal places.\nAnswer: -16.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 + 64\/(-9 - -1). Let c(t) be the second derivative of -11*t**3\/6 - 2*t**2 + 2*t. What are the prime factors of c(w)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/114)\/(297\/(-1782))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3275*s - 347290 + 347290.\nAnswer: 3275*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-11700)\/(-420) - (-1)\/7. Let n be (9\/2 + -3)*(1 - -21). Is g at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -133225\nAnswer: 266450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(78)*1 + sqrt(78) - sqrt(78) - sqrt(78))\/((sqrt(36)\/sqrt(3))\/sqrt(2)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 134306965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a. Let f(i) = 0*i - i + 10*i + i - 2 - 9*i. Give -f(w) - 5*g(w).\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v - 4*y - 3 - 2, 4*v + y = -14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 374 + -99. Suppose -d = 282*h - 287*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 3*l + 61536, 0 = -3*m - 4*l + 30504 + 31031. Suppose -m - 39371 = -44*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20001 (base 3) in base 15?\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 8. Is 11\/4 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202565*l + 202567*l = 38. Let p be (-6)\/9*3\/(-2). Let z(q) = 171*q. Let i be z(p). What is the greatest common divisor of l and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 20947 + -1?\nAnswer: 20946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5 = -4*v, -k + v = 6*v + 20. Let i(m) = 15*m**2 - 23*m + 1. Is i(k) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + 3*u**2 + 3*u**2 + 2*u**3 + 4*u - 5*u**2 to i + r*u**3 + g*u**2 + m*u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 11 - 2 - 4 - (-38 + 34)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/2*(-2)\/4. Suppose y*s = 98 + 12. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -379835433 divided by 5.\nAnswer: -379835433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 divided by 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.8 + -0.9. Let c = -2.9 + t. Let z = -3\/7 + -1\/14. What is the closest to 2\/9 in z, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1513 - -10041?\nAnswer: 11554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -184273, 2\/3, -3 in ascending order.\nAnswer: -184273, -3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 62*m + 89 = -57*m + 109, -4*w + 7*m = 4*m - 4*m - 41 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -15*a + 2. Let q(n) = 1238*n**2 - 720*n**2 - 472*n**2. Calculate q(l(o)).\nAnswer: 10350*o**2 - 2760*o + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7172, 6787, 6148, 5255, 4108?\n\"Answer: -127*n**2 - 4*n + 7303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1\/15, 3, -3\/4, -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9141522365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 21133343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - -1*(2 + -1). Suppose s + 58 = 5*t + 2*s, 4*t - 58 = 5*s. Suppose t*i - 7*i = -10. Sort i, k, -4 in increasing order.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1074424126*p**2*q**2 - 48*p*q**2 + 8021085*p*q wrt p.\nAnswer: 2148848252*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 53426 + 0.02377829.\nAnswer: 53426.02377829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/((f*f*f**(1\/5))\/f))\/(((f\/(f\/f**(-3)))\/f)\/f))**(-33\/2)\/(f*f**(2\/5)*f*f**(-2))**(-5\/3) assuming f is positive.\nAnswer: f**(-1178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-57)\/(-38) + 50\/4. Solve -2*y - 4 + u = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q**3 + 40*q**2 + 2*q + 6. Suppose 0 = -7*p + 60 + 45. What is the remainder when x(20) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 827355.9um?\nAnswer: 82.73559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.03 - -3.03. Let h = 16.9 - 14.9. What is the third biggest value in r, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.368 + 0.36800227. What is d rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -2 + (-7 - -12) + 1 + -15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 10*x - 208. Calculate the remainder when 1055 is divided by u(24).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6646206 and 6646206 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2064293507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 8:49 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -609, -611, -615, -621, -629, -639?\n\"Answer: -p**2 + p - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -15. Suppose 0 = i - 0*o - 2*o + 3, -j*o + 11 = -2*i. Suppose i*q + 56 = 9*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3791 is divided by 190?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-24))\/(80\/30*12\/(-96))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -365\/2 - -4049\/22. Suppose -4*m - 6*n = -n - 144, n + 27 = m. Find the common denominator of v and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = a + 2*z, 5*a - 717*z + 6 = -715*z + 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -14*f - 3*f. Suppose -4*d = -f*x + 5*x + 296, 4*x - 2*d = -380. Let c = x + 98. Solve 3*w + 3 = -3*i, 2*w + c*w = -5*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-12)*v\/(v\/(v**(7\/4)*v))*(v\/(v\/(v*v*v**(9\/5))))\/v*v\/v**(-1\/5))**(-8))**(-3\/43) assuming v is positive.\nAnswer: v**(474\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/142393, 1\/3, 0.4, -4, -5.\nAnswer: -5, -4, 1\/142393, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - -6. Let n = -9.5 + a. What is the third smallest value in n, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/9)\/((-146)\/657)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9157, 18365, 27573, 36775, 45965, 55137, 64285?\nAnswer: 73403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 2\/11, -0.4, 1\/3, 1\/137, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 14 = -3*n - 2*o, -4*o = -3*n + 8. Let w be -1 - -3 - (-13 + 1). Suppose -4*q + w = -2*q. What is the remainder when q is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 - 13*q - 13. What is the remainder when 15 is divided by z(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1 and 49531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2873 is divided by (-1*15)\/(39\/(-299)*1)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7783205545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 226.07 - 225.39. Which is the second biggest value?  (a) 3\/16  (b) 5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 13 = 2*v. Suppose 5*u = x - 1 + 6, -2*x = u - v. Solve 3*c + u = -k + 3, 0 = 4*k - 5*c + 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 258389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/105)\/((-8)\/((-80)\/6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 y, 1 n, and 1 s when four letters picked without replacement from {y: 3, n: 5, s: 1, d: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 57 and 289579?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 65687164 and 20072?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(13) + 3 - (sqrt(13) - (-4 + sqrt(13) + -4)**2).\nAnswer: -18*sqrt(13) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*a**2 - 20*a + 14*a + 58*a**2 + 6*a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 119170, 119182, 119178, 119152, 119098, 119010, 118882, 118708?\nAnswer: 118482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8548678?\nAnswer: 2, 29, 147391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 143463291 divided by 291\nAnswer: 493001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 5\/3739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -38, -76, -120, -170, -226?\n\"Answer: -3*f**2 - 29*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -5  (c) -3\/377  (d) 0.1  (e) -0.01  (f) 5\/6  (g) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6\/29, -1 in descending order.\nAnswer: 3, -6\/29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-208)\/(-2))\/(-5 - -1 - -6). Let i be 4*(-6 + 5 + c\/16). Solve 8*q - i = 31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 8*i**2 + 5. Suppose 0 = y + 518 + 28. Let h be (2\/3)\/((-28)\/y). Suppose -4*c - v - 27 = 0, 3*c - 2*c = v - h. What is l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 106060247 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/sqrt(4) + sqrt(30))\/sqrt(3))\/(sqrt(128) + sqrt(128)*-2) - ((sqrt(180) + 0)**2 - (sqrt(320) - sqrt(5))*4).\nAnswer: -180 + 111*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 531*b**4 - 125*b**4 - 47*b**4 + (b**2 - b**2 - 3*b**2)*(b - b + b)*(0*b + 0*b + 2*b).\nAnswer: 353*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 18046.09 millimeters in micrometers?\nAnswer: 18046090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.2366 - 1.1366. Which is the nearest to i?  (a) -0.2  (b) -1  (c) 2  (d) -6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 at most as big as 202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a + 2. Let c(b) = -b - 1. Let p = 19 + -21. Suppose r = 3*r - 12. Let u be r\/(-8) - (-1)\/(-4). Determine p*c(d) + u*w(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 333 - 334. Let j(t) be the first derivative of t**4\/4 - t**3\/6 + t + 2. Let h(d) be the first derivative of j(d). What is h(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, u: 2, k: 1, h: 4}. Give prob of picking 2 h and 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -832c88 (base 14) to base 10.\nAnswer: -4425800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*f = 22*f - 480. Let y be (-7)\/28 + -3 + (-52)\/(-16). Solve y = -14*w + f*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -1224.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of j**3\/3 + 6*j + 1. What is the remainder when n(-5) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/12)\/((-510)\/(-816))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from aathabbbfpf.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -49 + 48 + (-1 - (1 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.09 - -2.77653800462.\nAnswer: 2.68653800462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(1\/6)\/w)\/(w\/(w\/(w*w\/((w**(1\/2)*w*w)\/w)))*w))\/(w*w*w**2*w)**(-31) assuming w is positive.\nAnswer: w**(461\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25 + -22. Suppose 5*o = 2*z + 3, 0 = 5*o - 2*z - f*z. Let h be (-45)\/18*((-22)\/20 + o). Is h smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 58455 - -1507?\nAnswer: 61063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 3*x - 19, 2*j + 2*x = -22 + 16. Let b be (-1 - -1) + 6\/(-10). Put 2\/11, j, b, 0 in decreasing order.\nAnswer: j, 2\/11, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 3*g**2 + 4*g + 2. Let c be w(4). Let h be 0\/((-1)\/((-1)\/(-2))). Is h + (-1)\/(c\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/6 + 2)*(616\/49 + 4) - 2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -2*z, u - 5*u - 10 = -2*z. Let o be (-1*(0 - z))\/1. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*b + 16 + 44. Let h(q) = -3*q**3 - 4*q + 6. What is the tens digit of h(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 30 in 0.9, 111, 3, -1\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.02 - 0.26. Let y = 15.24 + h. Let f = y + -12. What is the second smallest value in -2, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1242113 + 1?\nAnswer: -1242112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (-32 + 26 + 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 600199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, u: 2, c: 1, e: 1, m: 1, n: 2}. What is prob of sequence wm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 110, 43, -194, -697, -1562, -2885?\nAnswer: -4762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 14*n**2 - 14*n + 10. Let x be c(13). Put 2, 1, x, 10 in ascending order.\nAnswer: x, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - -4. Let m = -6 + j. Put m, 2\/3, 5 in descending order.\nAnswer: 5, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 444, 1279, 3544, 7953, 15220?\n\"Answer: 119*v**3 + v**2 - v + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -59. Let v be 2\/(-5) - r\/5. Find the second derivative of 8*q**3 + 2*q + q**4 - v*q**3 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100239 is divided by 2948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1229901 is divided by 27329?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3071057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/66)\/((-12)\/33)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 20*a**2 + 27*a + 9. Let f be j(-18). Let y be (-4)\/(-16) + f\/(-12). Let s = y - 65. What is the remainder when s is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 8*x - 9. Let p(q) = 15*q - 17. Let t(v) = -4*p(v) + 7*s(v). Let r(y) = 291*y + 23858. Let w be r(-82). What is t(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13566739 to the nearest integer?\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -510 = -4*t - 522 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 12 - (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of f**4\/24 + 7*f**3\/3 - 9*f**2. Suppose 90 = -22*a + 12*a. Give k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 918.26479074 plus 0.042?\nAnswer: 918.30679074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 50 + -65 + -5 + 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = t - a, -a + 5*a + 18 = 3*t. Suppose -2 = -t*v, 76 = -x + 3*v - 15. Is (-6)\/(-18) + x\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-239*q + 481*q - 97 - 215*q)*(3*q + 1 - 1) + 3 + 2*q**2 - 3.\nAnswer: 83*q**2 - 291*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35008 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7462342?\nAnswer: 2, 599, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 6*t - 11*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rng when three letters picked without replacement from ornrnrnnnnnnognnonno?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10812825 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -552*u**3 + 26924*u - 164*u**3 - 513*u**3 - 26924*u.\nAnswer: -1229*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o - 1 - 2*o + 4*o. Let t(b) = 90*b + 636. Let z be 1384\/(-200) + (24\/75)\/(-4). Let v be t(z). Give p(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*g**3*o + 47*g**3*t**2 - 14*g**2*o**2 - 14*g*o**2*t**2 - 13*o**2*t - 2*o*t**2 wrt t?\nAnswer: 94*g**3 - 28*g*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 335*l. Let b(s) = s. Determine f(b(v)).\nAnswer: 335*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 57*w**2 + 684*w + 60. What is s(-17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -2 + 8 + (4 - 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11339734, 11339737, 11339740, 11339743, 11339746, 11339749?\n\"Answer: 3*u + 11339731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -1071*m + 942. What is f(1)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-37)\/(-2))\/((8\/(-48))\/((-33)\/(-99))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1405\/7 - 200. Let r(f) be the first derivative of 11 - y*f**2 - 6\/7*f - 4\/21*f**3. Factor r(j).\nAnswer: -2*(j + 1)*(2*j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -266426 - -470679. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -49*o**3 - 15*o. Let a(y) = 25*y**3 + 8*y. Calculate 11*a(t) + 6*r(t).\nAnswer: -19*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62 + 62 - 19*z)*(-4 + 1 + 1).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*l**5 - 814323*l**4 - 12*l**2 + 55918*l wrt l.\nAnswer: 120*l**2 - 19543752*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.05 and -0.19969?\nAnswer: 0.0099845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1051, -1053, -1055?\n\"Answer: -2*n - 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 + 42*w**2 + 150*w + 24. Let x be q(-38). Calculate the greatest common factor of 800 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -15*b**3 - 3*b**2 - 2*b - 393. Let f(z) = -17*z**3 - 4*z**2 - 3*z - 392. Let y(u) = -2*f(u) + 3*q(u). Differentiate y(m) with respect to m.\nAnswer: -33*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6181845 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25 or 1299?\nAnswer: 1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/5)\/p**(-3))\/(p\/(p\/(p**(-4\/9)*p*p))*p**(5\/4))*(p**5*(p*p\/p**(-4)*p*p)\/p)\/(p**(-2\/5)*p*p\/((p**(-5)*p)\/p)) assuming p is positive.\nAnswer: p**(1079\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -10*s + 31 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -20. Suppose -3*w + u + 107 = -125, 2*u - 238 = -v*w. Calculate the remainder when w is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 92 and 528282.\nAnswer: 24300972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4424721737?\nAnswer: 157, 1187, 23743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 797445 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.6113897 and 2.\nAnswer: -3.2227794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8227*g - 8227*g - 117*g**2 + 33*g**2.\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 319 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(8\/9)\/(t**25\/t) assuming t is positive.\nAnswer: t**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-2) - (-3)\/6. Suppose k = -q*n + 6*k + 43, -2*n - 4*k + 34 = 0. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - 99\/15 - (-8 + 4). What is r in 2\/5 + o*r**2 + 4\/5*r = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26252.41 + -121.\nAnswer: -26373.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 (base 8) in base 2?\nAnswer: 110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d**3 + 6*d**2 + 2*d + 7. Let v be b(3). Let k be ((-735)\/v)\/((-6)\/10). Solve 0 = -k*w + 21 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -224*w**2 + 20*w - 7. Let j be k(2). Let f = -841 - j. What is the least common multiple of 172 and f?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-4))\/(-3*2395\/720 - -10). What is the highest common divisor of g and 10242?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - -6) + -3 + -1. Suppose -5*p + 0*y = -5*y + 20, -6 = 4*p - 2*y. Let r be 25\/4 - 3 - (-3)\/(-12). Put b, r, p in descending order.\nAnswer: r, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -2*x. Let m be x*(1 + 1\/(-2)). Solve -v - 10 = 2*g, m = 2*g - 3*g - v - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 21. Suppose -x = -4*a + 2. Let y = 6 + -4. Is a > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(175))**2*-2 + -5*(-1*sqrt(175))**2.\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p**3 + 10*p**2 + 17*p - 14. Determine m(-6).\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -173*d + 48. Let o be h(5). Let m = o + 1280. List the prime factors of m.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p. Let q(x) = -8*x + 2. Determine 4*m(k) + q(k).\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21351498 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 170\/(-85)*(-143)\/(-182)\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 366 = 92*k + 90. Let z(y) = 17*y**3 - 3*y**2 - 3. Let l(u) = -17*u**3 + 4*u**2 + 4. Give k*l(i) + 4*z(i).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6*1*(5 - 1). Let z be 26\/l + 3\/(-12). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/5  (b) 2\/271  (c) 2\/15  (d) 0.2  (e) 2  (f) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -6*1\/(-14)*(-34)\/102\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.12 + 1.88. Which is the closest to 0.05?  (a) -0.15  (b) 1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -30*w. Let l(c) = 88*c**2 + 96*c**2 - 178*c**2. Calculate t(l(i)).\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**5)**(-22)*(z*z**(-8)\/z)\/z**15 assuming z is positive.\nAnswer: z**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -214*t + 2*t**2 + 104*t - 9*t**3 + 107*t + 32 + 8*t**3 - 5*t**2. What is u(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t. Let f be 4\/(12\/9) + 3. Suppose 2*n = 4*n + f. Let a(q) = 2*q. Let y(p) = -4*p. Let m(j) = n*y(j) - 5*a(j). What is z(m(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 614 = 226. Let p = r - -1128. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-148)\/666*(-36)\/8*785\/(-5)\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 23 - 241 = -4*t, 0 = 5*t - 2*z - 292. Solve -t*l + 52*l + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329*l + 14716 = 5504 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/23, 0.01, -0.17, -0.2, 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2277810 to the power of 1\/2, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1833 and 78114?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71638121 = 14*q - 3*a - 86532458, -q + 11297928 = 4*a. Round q to the nearest one hundred thousand.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**(-7\/3)*v*v))\/v*v**(-5)*((v**(-1)\/v*v)\/v)\/(v**(-7)*v))**32)**(-28) assuming v is positive.\nAnswer: v**(1792\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 662199384 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -9*v**3 - 5*v**2 + 503*v - 2015. Determine j(4).\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 7, v: 12}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-70)\/36)\/(-7)*27\/(3510\/26).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -23*p - 21*p + 72*p - 30*p. Let j = -61 + 63. Let f(z) = -z**2 - 1 - z**2 - 4*z**j + 0*z**2. Determine f(t(c)).\nAnswer: -24*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(540) - sqrt(15))\/sqrt(5) + -1.\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4*(3 - 1). Let l(k) = k**2 - 12*k + 17. Let f be l(10). Let z be f\/(-5) + 180\/(-175). What is the second biggest value in 1\/4, z, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 549 or 550?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 69, 59, 45, 27, 5, -21?\n\"Answer: -2*m**2 - 4*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 78*v + 7 = 74*v, -2*d - 2*v = -16. Suppose d*a - 22*a + 18 = 0. Solve -14 = 4*x - a*q, 4*x - 3*q = -13 - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6182 - 6182 - 188*y - 155*y.\nAnswer: -343*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 15. Let c be (4\/(-51))\/(6\/l). Let h = -27\/2 - -13. What is the nearest to -0.1 in h, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*q - q - 18, -3*p - q = -25. Calculate the highest common factor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 AM and 3:13 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 1)*(-x - x + 0*x + (3*x + 2 - 2)*(7 - 2 - 2) + 3*x - 5*x + 3*x) to t*x + u and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 31*q**2 + 6. Let w(y) = -97 - 9 + 1 + 104. Calculate 5*w(p) + x(p).\nAnswer: 31*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -92*q*t + 198*q wrt t.\nAnswer: -92*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 399\/190 + (36\/40)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + h**2 + 1. Let k be v(-1). Suppose 24 = -4*m - 2*s, 0 = -16*m + 14*m + 3*s - 36. Which is the closest to k?  (a) m  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**5 - h**5 + 5*h**5)*(-1 + 2 - 2) - 274*h**5 - 326*h**5 + 632*h**5.\nAnswer: 29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 6*t - 8. Let y(f) = -f + 4. Let v be y(9). Let g(m) = 3*m + 17. Let q be g(v). What is the units digit of z(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) -6  (c) 1.4  (d) 218  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*w**2 - 8 + 159*w**2 + 8 + 335*w**2 - 63*w**2.\nAnswer: 534*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -267 (base 16) in base 9?\nAnswer: -753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 7*o - 11. Calculate i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1448 - -2535. Suppose 21*k + 268 = a. Is k a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -0*c - 5*l - 169, 5*l - 335 = -5*c. Let y = c - -24. Let v = y - 38. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*k - 29*k + 539. What is the greatest common divisor of 2079 and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -7*w + 101. Let s be u(14). Solve -13 = -q - 2*n - s*n, -3*n + 15 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -2. Suppose -r*t = 4*u, 3*u - 6*t - 18 = -3*t. Let i(b) = -b**3 + 5*b**2 - 4*b + 1. Calculate i(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, v: 2, k: 1}. What is prob of sequence okvo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2317618 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cchduhh. What is prob of picking 1 h, 1 c, and 1 u?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4369928445?\nAnswer: 3, 5, 97109521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2679041137 to the power of 1\/3, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from {y: 1, a: 3, j: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163*v + 168*v = 600. What is the least common multiple of v and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 537306914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1202 + -2221312?\nAnswer: -2223120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t - 8*t + 0*t)*(189*t - t**2 - 189*t) as y + j*t**3 + q*t + c*t**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -j**5 - 10*j**4 - 30*j**3 - 40*j**2 - 25*j - 286. Factor f(v).\nAnswer: -5*(v + 1)**3*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.2 - -0.2. Which is the third biggest value?  (a) 4  (b) -2\/13  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**2. Let z(c) = -3*c**2 + 3*c**2 + 3*c**2. Give z(p(r)).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 36850, 36848, 36846, 36844, 36842?\n\"Answer: -2*s + 36852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**2\/8 + 5962989*o\/8 + 2981493\/4 = 0. Calculate o.\nAnswer: -1987662, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 5*t - 13 = 0, 2*f - 6*f - 3*t = -5. Sort -5, f, 3 in descending order.\nAnswer: 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is abbb38 (base 16) in base 10?\nAnswer: 11254584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 9) + (3 - -5) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 293764.5ml?\nAnswer: 293.7645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81772 is divided by 1299?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -850  (b) 2  (c) -1  (d) -0.3  (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2744*a**4*m**3 + 2*a**2*m**3*y**2 - 2*a*m**2*y + a*m*y**2 + 7*a*y + 10*m**3*y**2 wrt a.\nAnswer: -32928*a**2*m**3 + 4*m**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 717\/7*h**2 - 3\/7*h**5 - 45\/7*h**4 - 81\/7*h**3 - 972\/7 - 216\/7*h = 0?\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3101488622.\nAnswer: 2, 1550744311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**(-2\/9)))**(-12\/5))**(-15) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 55, -0.2 in ascending order.\nAnswer: -0.2, 1\/4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -87 + 142. Let i = p - 31. Suppose q = -3*l - 3*q + i, -2*l = -5*q - 39. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (213*a - 213*a + 11*a**2)*(6*a - 2*a - 3*a).\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0667 rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/45 - 16\/(-9). Let j(o) be the first derivative of -1\/3*o**3 + 1 - o**s - o. Factor j(x).\nAnswer: -(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5258 - -5257. Put n, 8, 2, -3 in decreasing order.\nAnswer: 8, 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d + 9. Let t be y(3). Solve -2*b + 2*w - 4 - 2 = 0, 0 = 2*w - t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 - 1. Let i(b) = 8*b**2 - 4*b - 8. Suppose 14 = -s + 13. Let u(x) = s*i(x) + 8*a(x). Find the second derivative of u(q) wrt q.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -5.1. Let j = 577\/5 - 116. What is the closest to c in -5, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 3*d + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 143714 divided by -181?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 465509.\nAnswer: 11, 101, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x - 2*a - 2, -3*x + a + 11 - 36 = 2*x - a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 684 - 742.8. Let c = -59 - u. Put 1, c, -2\/5, -2 in descending order.\nAnswer: 1, c, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 690\/(-207)*(-4)\/10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-4) - 10\/4. Let v(c) = -5*c + 2. Let n(b) be the first derivative of -3*b**2 + 2*b + 10. Calculate w*n(p) + 4*v(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -575 + 16677\/29. Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -529648\/283 bigger than -1871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 2*o - 13 = 5*v, 5*v = -4*o - 6. Let f(n) = n**2 + 10*n - 74. Let m be f(-15). Which is the nearest to v?  (a) m  (b) -2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*y**3 + 202*y**2 - 202*y**2.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (-10 + (19 - -14))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 - 63*a + 239. Let p be j(4). Let z = 14 - 10. Suppose 0 = -z*k - f - 44402, 2*k = -p*k + 3*f - 55494. What is k rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6561, 14395, 22267, 30195, 38197, 46291, 54495, 62827?\nAnswer: 71305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, w: 4, r: 2}. Give prob of sequence rgrg.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (15 + -7)) + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 4, -3, -10, -5 in decreasing order.\nAnswer: 18, 4, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331) + (sqrt(1331) - (0 + -2*sqrt(1331) + sqrt(1331))))*2 - (0 + ((sqrt(1331) + 4)*6 - sqrt(1331))))**2.\nAnswer: -528*sqrt(11) + 1907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, k: 9}. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 14151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(162)*2 + sqrt(162) - (sqrt(2) - -3*(sqrt(18))**2 - (4 + (-1*sqrt(2))**2)).\nAnswer: -50 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -798539*b**4 + 17818*b**2 + 2*b?\nAnswer: -19164936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or -0.2743?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4 + 334*u**3 + 14432*u**2 + 40344*u.\nAnswer: 2*u*(u + 3)*(u + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2, 9, 38, 91, 174?\n\"Answer: y**3 + 3*y**2 - 5*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -12, 47 = 4*i - 5*y - 45. What is the highest common factor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -403994 divided by 201997.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*2 + 133001\/(-6490). Let w = 1318636\/2065 + -4470\/7. Let j = g + w. What is the common denominator of 41\/16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*11\/363*11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 138*k - 10353. Give i(-54).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -118\/283?\nAnswer: -118\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000022150566 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 + 8*o + 2. Let w be q(8). Suppose 3*z = 4 + w. Let g be 104\/(-210) + z\/5. Which is the smallest value?  (a) g  (b) -5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*f + 0)*(-2*f + 4 - 4) + (3 + 12 + 1)*(7*f + 6*f**2 - 7*f).\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24\/16 + 147\/(-2). Let b = -48 - d. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17171677 is divided by 6475?\nAnswer: 6452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 25.961, 5, 2\/485?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1594, -1505, -1362, -1165, -914?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 378 + 4*o**2 - 53*o + 427 - 802. Let h(f) = -f. Determine i(h(g)).\nAnswer: 4*g**2 + 53*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 151436 and 408.\nAnswer: 908616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1058*p**4\/5 - 105478*p**3\/5 + 72992*p**2\/5 - 12672*p\/5.\nAnswer: 2*p*(p - 99)*(23*p - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-5*(-42)\/(-175))\/(5 + (-84)\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -978a1 (base 11) to base 13.\nAnswer: -4c92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxebembx. What is prob of sequence xb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*n - 123*n + 244*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 8*a**2 + 2*a. Let v(c) = -437*c - 1. Calculate v(h(p)).\nAnswer: -3496*p**2 - 874*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 10:11 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 12:56 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 7:47 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1282833 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -80\/3861 and -74\/363.\nAnswer: 42471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 4:26 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u - 10. Let p be x(-6). Let r(b) = 7*b - 5. Let l(z) = z. Let f(d) = -18*l(d) + 2*r(d). Is f(p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5324653 take away -27405?\nAnswer: 5352058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29093515.\nAnswer: 5, 11, 528973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12987265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 30 = 5*m, -m = -6*b + 5*b - 10. Suppose 0 = 2*o - 6*o - m. List the prime factors of 31 + 3 + o\/(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9595.839 weeks in milliseconds?\nAnswer: 5803563427200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t - 1. Let r be d(-2). Suppose 2*z - 4 = 6. Calculate the greatest common divisor of z and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - 6*i**2 + 14*i - 3. Let s be n(2). Suppose -56 = s*j - 23*j. Solve -9*q + 5*d + 40 = -4*q, -4*q = j*d + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 3*y = 2, -102*y + 103*y = z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 197778142 at least 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30714 + -30713.9935855. Round p to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 9*c**2 + 64907*c - 519286. Give o(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2c4599 (base 14) to base 10\nAnswer: 1548731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r - 45 = -1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u - 2. Let f(z) = 4*z + 5. Let j(c) = c**2 - 1. Let w be j(2). Let v be 2\/w*(-36)\/(-8). What is v*f(q) + 7*l(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -671665 or -671678?\nAnswer: -671678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ahhanqhhhahaanchqaa. What is prob of sequence ncaq?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -s**2 - 53680*s - 48383671 = 0.\nAnswer: -52763, -917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30*0.2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1269686872 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 345568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 105\/753826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 4:03 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 288*f + 8074. Let g be b(-28). Let p(m) = 2*m**2 - 2*m. Let c be p(-4). Solve -c = 3*i + 3*s + 2*s, -s - g = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -11. Suppose -z*m - 46 = 14. What is the remainder when 5 is divided by m\/(-35) - (-22)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1135829, -1135809, -1135789, -1135769?\nAnswer: -1135749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*b**4*g**2 - 2*b*g**3 - 10*b + 629*g**3 wrt b.\nAnswer: -12*b**3*g**2 - 2*g**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -553.62 + -0.744?\nAnswer: -554.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14370713 is divided by 829?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -295, -429, -561, -691, -819, -945?\n\"Answer: s**2 - 137*s - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358 is divided by 113?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 65*u - 114. Let b be x(7). Let m = b + -338. Calculate the remainder when 26 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p + 7. Let d(o) = -57*o + 30. Let s(z) = -4*a(z) + d(z). Let q(f) be the first derivative of f**3\/3 + 2. Determine s(q(j)).\nAnswer: -49*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 798 + -467. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -454 (base 8) to base 4.\nAnswer: -10230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11814, -47236, -106302, -189036, -295462?\nAnswer: -425604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 270 and 1980.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -20*g**2 + 693*g - 2235. Give m(31).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4*(16 + 1144\/(-72))*1)\/(268\/(-18)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 4*s - 180. Calculate a(47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114280.\nAnswer: 2, 5, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 20 = h. Let r be ((-2)\/2 + 58)*1. Suppose j - h*j + r = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 4*w**3 + 337*w**2 + 85*w + 11. Calculate f(-84).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 5 - 27. List the prime factors of (q + 3)*(1 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1651506 divided by 8\nAnswer: -825753\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t**2 + 62*t + 83. Is s(19) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*p**6 - 113*p**4 - 109*p**2 + 1 wrt p.\nAnswer: -360*p**3 - 2712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - r + 6*r = 70, 2*t = -3*r + 47. Suppose -55 = -5*f + t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 25 = 4*h. Let g be (2\/(-5))\/((-1)\/h). Let r = 5 + -2. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -56412\nAnswer: -5\/56412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -6*v**2. Let x(d) = 7*d**2 + 4. Let t(u) = -6*u**2 - 3. Let q(b) = -4*t(b) - 3*x(b). Determine q(w(f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*a = 311860 - 311670 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1719392773?\nAnswer: 7, 31, 7923469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dblll. What is prob of sequence bl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567) + (-2*sqrt(567) - sqrt(567))*-1 + 4 + 2*sqrt(567) + -2)**2.\nAnswer: 216*sqrt(7) + 20416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from onoowoooooooowoonn. Give prob of picking 1 o and 1 w.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 59, 44, 19, -10, -37, -56?\n\"Answer: d**3 - 11*d**2 + 11*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-68)\/(-2) - (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/21*-1)\/(1*7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5791378 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -125.16701 to the nearest integer.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 323 = -2*y + 2579. Suppose -25*q - 44 = -44. Suppose q = 8*d + 120 - y. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -117\/98 and 3\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 130 - -10212320414?\nAnswer: 10212321044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4154669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1827 = b + 4*k, -657 = -b + 5*k + 1161. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30624 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + -31. Let g = l + 29. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 45 = 7*n. Let j be (3 - 1)*(-1 + n). Calculate the greatest common factor of 24 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2 - 510*x + 65025.\nAnswer: (x - 255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - (1 + -2)) + (-115)\/(-7). Are j and 16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 304 + 2*u**4 + 7*u - u**3 - 304 + (3 + 1 - 2)*(-3*u**2 + u**4 + 3*u**2).\nAnswer: 4*u**4 - u**3 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 153403111 and 1448.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 202 + -173. Solve -j - 25 = -r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**2 - 7*b. Let o be v(6). Suppose 2*x - 3*r - 11 = 0, -4*x + x + 15 = -5*r. What is the highest common factor of x and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 4, -1\/4, 2, 20 in descending order.\nAnswer: 20, 4, 2, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 106, 332, 774, 1504, 2594?\nAnswer: 4116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104682610*p**2 - 52341302*p**2 - 52341313*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y - 71. Let c be z(28). Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-113 + 160 - 89) + -53.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 10*g - 14. Let k be u(7). Solve 5*x = 2*r + k + 3, -5 = 5*x + r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i - 10. Let r be o(6). Let c = 7 - 4. Solve c*h - 2*p + 1 = 0, r*h + 5*p - p - 26 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.4 + 0.7. Let p be (-95)\/148 + (-12)\/(-16). Let n = p - 184\/333. Which is the second smallest value?  (a) r  (b) 3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c - 10. Let w be (11 - 591)*(-2)\/5. Let r = w - 241. Determine h(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a - 568 - 134 = 0. Let m = -76 - a. Suppose m*d**2 - 5*d - 6 + 0*d**2 + 0*d**2 - 3*d**2 = 0. Calculate d.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 491442205 = 491442207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(11)*-3 + (sqrt(11) - -2*sqrt(11))*4)*3.\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 700686 divided by -4221\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d + 164 - 177 + 2*d + d. What is u(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 60.967 - 60.9702969. Round y to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 13 - 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -106 - -354. Let z = h + -24. Let f = z + -223.9387. Round f to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 - (20 + (-85 - -55) + (10 - 1))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -465 - -189. Let j = m - -275.99879. Round j to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 9*q = 5. Solve -q*v - 20 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5\/150*-5*9. Which is the smallest value?  (a) 3  (b) -4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2. Let u(j) be the third derivative of -j**7\/315 - 7*j**4\/24 + 16*j**2. Let z(d) be the second derivative of u(d). Give z(r(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z**2 + 115*z**2 + 98*z**2)*(-15*z - 10 + 23 + 8*z) as g*z**2 + b*z + x*z**3 + m and give g.\nAnswer: 2743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 122 and 308111?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q + 0*q - 7 + q - 2*q. Let g be z(-5). Solve g*a - 14 + 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -136 + 223. What are the prime factors of h?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60747 + 219171 = 28*m. List the prime factors of m.\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63344.37 centuries in months?\nAnswer: 76013244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/9  (b) -63  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1362 + -1362. Solve f = -5*x + 54 - 19 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 4*b - 6, -6*b = -7*b - 2*c + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-162)\/(-9))\/(((-14)\/7)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2342 - 1?\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4192423 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 5)*(0*v - v + 4*v)*(0 + 1 - 2) + 989 - 87*v - 989 as g*v + d and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/482 equal to 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 - t**3 + (3*t**2 - 2*t**2 + 3*t**2)*(t - t - 2*t) + t**3 + 3*t**3 - t**3 to c*t**3 + j*t**2 + r + d*t and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -4. Let n = 0.1 - 0.3. Sort v, n, 2 in decreasing order.\nAnswer: 2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/4  (b) -0.5  (c) -3\/2  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6087 take away 127323?\nAnswer: -121236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -1209*p - 16. Is k(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(((-2124)\/270 + 8)\/((-2)\/(-10))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lkm when three letters picked without replacement from {m: 1, b: 6, c: 2, l: 3, k: 2, d: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -142*v**2 + 59. Let c(k) = 3*k**2 + k + 1. Let h(p) = 2*c(p) + g(p). What is the second derivative of h(i) wrt i?\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 + 8\/(-4) - 2. Suppose 3*g - 166 = 5*j, i*g - 39 = 2*j + 65. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/20 and 348\/40 - (1 - -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 260.29 + -269.29. Sort 0.5, 13.4, g, -5 in descending order.\nAnswer: 13.4, 0.5, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + 65\/5 + -1. Let a(l) = 3*l + 3. Let s be a(-3). Let p be 1\/(5\/(-25))*s\/5. Calculate the highest common divisor of r and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mffbffmbfbbbfbfpmm. Give prob of picking 1 b, 1 f, and 1 m.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*d**5 + 70*d**4 + 115*d**3 + 80*d**2 + 20*d = 0 for d.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 499 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -462*h - 31 - 386 = 1296 + 1059 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -605, -1184, -1751, -2300, -2825, -3320, -3779, -4196?\nAnswer: -4565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4129178?\nAnswer: 2, 2064589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (28 + (5 - 15))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -297*l - 7955. Let z be r(-27). Solve -z*o + 75*o - 88 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2097, 1971, 1753, 1443, 1041?\n\"Answer: -46*y**2 + 12*y + 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 + 21*z - 4. Let d(j) = -2*j**2 + 10*j - 2. Let r(x) = 2*d(x) - f(x). Let y(t) = 0 - 2 + 1 + 2*t. Let l be y(1). Calculate r(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*o - 13 = -0, 2*v = 4*o - 18. Let d = 17 + v. Let b = 26 - d. Calculate the greatest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7075 - 7101. Put -2, 4, k in ascending order.\nAnswer: k, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*j - 2178 = 152*j - 16928 + 1642 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/187 and -51\/77.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3)\/(0 - ((-60)\/535)\/(-4)) is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34400074, -34400080, -34400090, -34400104, -34400122, -34400144, -34400170?\nAnswer: -34400200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43.63117ml to litres.\nAnswer: 0.04363117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -9*r - 2. Let y(t) = -33*t - 25. Let m(w) = 2*w + 3. Let a(s) = 7*m(s) + y(s). Determine -6*a(f) + 13*v(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000981 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 872*y**5 - 393*y**2 + 3 wrt y.\nAnswer: 52320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 22*m**2 + 18*m + 18. What is a(-21)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 4 + 5 + 18*p.\nAnswer: 18*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6705877802922925470 - 6705877832982394772.000000315. Let y = z + 30059469153. Let d = y + 149. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 7:18 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.196 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847)*-3 + 4)*6 + 1*5*(-2 + sqrt(847)).\nAnswer: -143*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1737 divided by -3?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 2622 - 728 = -82*m, 3*a = 6*m - 2*m - 3*m - 53 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.07 and -0.219?\nAnswer: 0.01533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 6)*(-q + 0*q - q) + (3 + 0 + 0)*(11*q - 7*q + 8*q) as w*q + i and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 minus 23426920195404?\nAnswer: -23426920195405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1636291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from chxuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14773*l = -19081*l + 529884 for l.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 PM and 3:03 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*((k**(-2\/9)*k)\/k)\/k)\/k)\/k**3)**13 assuming k is positive.\nAnswer: k**(-494\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 806761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/358 in -2, -0.1, 3, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 14) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 41426872518939 + -25\nAnswer: 41426872518914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1210, -2403, -3596?\n\"Answer: -1193*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 413 = -5*q, q = z - 15 - 86. Suppose 0*g + 3*g = z. Factor 8*h + g - 18 - 3*h**2 - 20.\nAnswer: -(h - 2)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -28*k + 15. Suppose 4*u + 2*y = -12, u + 7 + 1 = 2*y. Let h(g) = 27*g - 19. Let b(w) = u*h(w) - 5*f(w). What is b(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/(44\/(-642)) - (-2)\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-eight sevenths of a week in minutes?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000003951 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62 (base 8) to base 6.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7674480 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 6*k**2 - k - 19. Let b(z) = z**2 + 1. Let f be b(2). Let s be p(f). Calculate the greatest common factor of 9 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36319966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*n**3*o**2 - 33940*n**3*o + 11*n**2*o - 14*n*o**2 - 54*n*o + n + 3*o**2 wrt n?\nAnswer: 144*o**2 - 203640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39894)\/(-12099)*(-37)\/1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -y**7\/420 + y**4 + 19*y. Let p(g) be the third derivative of r(g). Let d(q) = -2*q. Determine p(d(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z = -39*z + 13*z + 428052. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 0.3  (b) -101  (c) 1\/5  (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.61 and 3.77?\nAnswer: 2.2997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of 2*a**3\/3 - a**2\/2 - 4*a - 33. Let v(t) = 4*t**2 - 2*t - 9. Give -7*o(d) + 3*v(d).\nAnswer: -2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8239259.432000232 - 8239148.432. Let w = 111 - l. What is w rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -j - 4*j + 60, -5*k + 3*j + 20 = 0. Suppose 0 = 5*l - 4*u - 19, l - 6 = 6*u - 3*u. Suppose -5*g + l = -k. Solve -3 = -g*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, f: 1, p: 3}. Give prob of sequence kfp.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/1152 and -29\/1248?\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -17*x**4\/24 - 5*x**3\/2 - 3*x**2. Find the first derivative of z(f) wrt f.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 724 - 730. Let n be (b + 2)\/(-4) + (-105)\/(-3). Solve -y - 8*y + n = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2666454639 to the power of 1\/3, to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 329221?\nAnswer: 401, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*j**2 + 0*j**2 - 2*j**2 + (-2*j + 2 - 2)*(j - 4 + 4) - 2 - 2*j**2 + 2 + 110*j - 2 + 3*j**2 - 21*j**2 - 111*j to a + k*j**2 + z*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 18 = -729. Let y be (-3)\/2 + (-1137)\/6. Let c = y - g. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39897 and 42493.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -14\/39  (c) -4  (d) 2\/21  (e) -5  (f) -0.1  (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**5\/20 - 10*s**2. Let b be k(-1). Suppose -m - 2*m - 875991 = 4*n, 0 = 5*n + b*m + 1094991. Round n to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (11\/22)\/((-15)\/4560*8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zju. What is prob of sequence ju?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 1917*r + 1919*r - 6 = 0, 0 = -3*o + 4*r - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1102122 - -20022221010?\nAnswer: 20101100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31*g*i**2 - 187*g*i*j + 16*g*i + 280*i**3*j**2 - i**3 - i*j**2 wrt i?\nAnswer: -62*g + 1680*i*j**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5*b = 10*h - 30, -3*b - 12 = 0. Suppose -v + h*s + 4 = -2, -s = 4*v + 3. Sort v, 5, 0.3 in descending order.\nAnswer: 5, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3871 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -4*y + 328, 5*r = -y + 3*y - 192. Let m = 327 + y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183*k + 2743 = 349*k + 87 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1371*24\/54*(-3)\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176*f - 25 = 181*f. Let g be f - (1 - 3) - (-3 + -1280000). What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2. Suppose 0 = -2*z + 32 + 2. Let x(d) = 14*d + z*d + 15*d - d. Give x(y(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77 divided by -2.\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-497)\/355)\/(1\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.0349 and -4889.476781.\nAnswer: -4889.441881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from voovvovovovovo?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 200, 198, 196, 194?\n\"Answer: -2*s + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 - 4*f**2 - f + 8. Let c be o(-4). Let w be (-16)\/c - 16\/(-3). Let m be (w\/(-6))\/((-2)\/69). What is the greatest common factor of 184 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4 = 0, -o + 5*t + 10 = -11. Suppose 4*r + 3 = 4*u + o, -4*r = 5*u - 8. Suppose -r*y + y + 15 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -495 + -4?\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*a = -11*a - 300 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of -m**8\/10080 + 2*m**5\/15 - 5*m**2. Let t(a) be the third derivative of q(a). Let i(d) = d**2 + 1 - 1. Calculate i(t(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 128715818 to the power of 1\/3, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-50)*24\/(-18)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 219*l - 219*l - 3*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 11*w - 15. Let j be y(-12). Let r be (0 - 4)*(j*1)\/12. Sort r, 0, -3.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1338*x + 1900*x - 4156*x.\nAnswer: -918*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26896 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3336988?\nAnswer: 2, 229, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 16*h + 109. Let a(o) = -7*o - 54. Calculate -7*a(g) - 3*x(g).\nAnswer: g + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**4\/12 - 5*n**3\/6 - n**2 - 12*n. Let p be v(-4). What is the lowest common multiple of 2 and p\/13 - ((-386)\/26 - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/30*73\/146.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**7\/14 + 33*v**5\/20 - 3*v**4\/2 - 14*v**3 + 36*v**2 - 167*v. Determine c so that t(c) = 0.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.65 - -6.69. Which is the closest to -4\/7?  (a) i  (b) -0.4  (c) -2\/9  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s = w + 15*s - 56, 3*s + 117 = 2*w. Let o = -694 - -858. Calculate the least common multiple of w and o.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 22.945. Round s to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7965, -63703, -215055, -509829, -995833, -1720875, -2732763?\n\"Answer: -7968*x**3 + x**2 + 35*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/8 + (-88615)\/(-148) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 37.1 and -3615.\nAnswer: -134116.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 8, -1\/11, 28, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65681 is divided by 104?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.07 - -6.15. Round n to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + 14 + -8 - -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**4\/4 + 253*q**3 - 122317*q**2\/2 - 1331893*q + 5571195\/4 = 0.\nAnswer: -21, 1, 485, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8083, -16097, -24209, -32419, -40727, -49133, -57637?\nAnswer: -66239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 - -10. Suppose -3*l + 32300 + 36700 = b. Round l to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of y**4\/4 + 2*y**3 + y**2 - 7*y - 5. What is the remainder when 23 is divided by m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**4 - 97695270*h**3 + 795364010421591*h**2 - 3181454869343220*h + 3181454478562188 = 0 for h.\nAnswer: 2, 16282543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002337572 to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/91 and -54\/13979.\nAnswer: 181727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**2 - r**2 + 4*r**2 + (-3*r**2 - r**2 + 2*r**2)*(3 + 0 - 4) + r - r + 2*r**2 - 50*r**2 + 63*r**2 - 40*r**2 - 2*r**2 + r**2 + 0*r**2.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 12870 divided by 4290\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 13*b**3 + 5*b**2 + 2*b + 8. Let z be x(3). Suppose z + 160 = 19*o. Calculate the least common multiple of o and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*1\/(28\/(-32)*(-28)\/35)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of u**4\/12 - u**2\/2 + 17*u. Let t be j(10). Calculate the greatest common divisor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-8\/7)*b)\/b**(1\/11))\/(b*b**(1\/26)*b**(-17)) assuming b is positive.\nAnswer: b**(31487\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 11 = 34. Suppose -5*h + 15 = -y. Solve h = f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 37. Let x be (-800)\/b*240*1825. What is x rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 6*p**3 + 144 - 144 - 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3009206 and 0.1.\nAnswer: 300920.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/1 - (28 + -31). Let r = 626\/3 + -6904\/33. Let b(a) = -76*a + 299. Let s be b(4). Sort o, 0.2, r, s.\nAnswer: s, r, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 < -0.1659414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 149, 154, 163, 176, 193, 214, 239?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13 less than -0.0192?\nAnswer: 0.1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 16. Suppose -5*h = -j*h - 70. Let x be 21\/h + 20400006\/4. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 17269782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 73457.35 millilitres in litres?\nAnswer: 73.45735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4660686 to two dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.82 + -325812246.938?\nAnswer: -325812246.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*k - 18*k + 22*k + (3 - 3*k - 3)*((1 + 1 - 4)*(0 - 2 + 4) + (-5 + 3 + 3)*(0 - 1 + 0) - 1 - 5 + 2).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -175  (c) 0.5896  (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.8 - -2.7. Let a = -1 + 1.06. Let s = 0.06 - a. Put -1, s, i in ascending order.\nAnswer: -1, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -67947 in 16, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -66*g + 144. Let l be f(7). Let k = 331 + l. Solve -i = -0 - 4, 2*i = -n + k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g. Let z = -640 + 656. Let y(d) = 77*d - 78 + 40 - z*d + 38. Give j(y(w)).\nAnswer: 122*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11821180*x**4 - 22*x**2 - 4307*x + 1 wrt x.\nAnswer: 283708320*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1\/1)\/(-3)*0\/18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -1 - 12*s + 7*s + 1. Let d(t) = -36*t. Determine d(w(c)).\nAnswer: 180*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 + 17*p. Let z be t(17). Suppose z = -d + 349 + 123. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 2947.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 3:14 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**(3\/17)))\/f**18 assuming f is positive.\nAnswer: f**(-309\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 3*k - 12*k + 10*k. Let i(d) = -2. Let z(r) = -4*r**2 + 72. Let m(a) = -72*i(a) - 2*z(a). Determine b(m(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**3 + 231*b**2 - 115*b**2 - 116*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*y + 28*y + 5*l + 25 = 0, -3*l + 9 = 0. Calculate the remainder when 2005 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 4*j - 7 - 5, -10 = -4*j + 5*m. Let r be 9\/3 + (j - 4). Suppose -12 = 4*s + r*p, -5 = -3*s + 6*s + 5*p. Put -1, 0.2, s in descending order.\nAnswer: 0.2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of -i**4\/12 + 3*i**3\/2 - 30*i. Let j(n) be the first derivative of -2*n**3\/3 + 9*n**2 - 77. Determine -2*j(h) + 5*o(h).\nAnswer: -h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1252478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7922*u**2 + 2*u + 3796 wrt u?\nAnswer: 15844*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 1359*c**2 + 95*c + 8. What is the thousands digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 895*o = 896*o - 1062. Calculate the greatest common divisor of 36 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2261868 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3.1  (b) 2\/7  (c) -10  (d) 0.5  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -212 + -110?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in 0.1, 1\/114, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16948159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of r**3\/3 + 3*r**2 - 4*r + 5. Let w be s(-7). Let n(v) = v. Let c(z) = -3*z. Give w*c(x) + 5*n(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1991*o**3*r**3 + 14*o**3*r - 3*o**2 - o*r**3 - 4*o*r**2 + 116*o*r + 2*r wrt r.\nAnswer: 11946*o**3*r - 6*o*r - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27\/1126 + -62813\/10134. What is the common denominator of -40\/32583 and u?\nAnswer: 97749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00009274283 to 6 decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/18*(0 + 2)\/4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 6*k**2 - 9*k + 8. Let a be m(1). Suppose -3*t - 149 = 4*q, -q + 233 = -a*t - 0*t. Let o = -148\/3 - t. Is 3 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1114 + -1?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.3191, 5, -0.4?\nAnswer: -0.3191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -41?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -7831675.4 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7248.95537 - 0.02217.\nAnswer: -7248.97754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 10:53 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s - 104*s = -45*s + 99*s + 10412 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -55557 divided by -3\nAnswer: 18519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**3 + 3*w**3 + 0*w**3)*(3 - 2 + 1)*(2 + 1 - 1).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sus when three letters picked without replacement from {z: 2, u: 1, f: 4, s: 12}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*q = -48*q + 18*v - 36, 0 = -q + 56*v - 61*v + 18 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*r - 82 = -1. Solve -r = 7*d + b, 4*d = 3*b + 3 - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31865 - 26907. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*(i**(-4)*i)\/i)\/i)\/(i\/(i**(-2)\/i)))\/(i**(-2)*i\/i**6)*(i*i**(-5))\/i*i*i\/(i**(3\/4)*i)*i*(i*i**(-3))\/i*i*i**(-2\/9) assuming i is positive.\nAnswer: i**(-251\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -785*y = -214*y + 167*y - 4428 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**2 - c + 15. Let w(d) = -d**2 + 8. Let j(y) = 6*p(y) - 11*w(y). Let n be j(-5). Calculate the remainder when 15 is divided by (-4)\/(n\/(-2) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/11, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 61 and -0.46?\nAnswer: -28.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/15*(-6)\/45.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 43, 144, 305, 526, 807?\n\"Answer: 30*a**2 + 11*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(1\/2)*i))\/i)\/(i\/i**(-22)) assuming i is positive.\nAnswer: i**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 10, d: 10}. Give prob of picking 1 d and 2 s.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -927, -1220, -1511, -1800?\nAnswer: -2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16 + -4 + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 952 + -248. Is m a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 25903319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 208\/3*t**3 + 0*t - 2704\/3*t**2 - 4\/3*t**4 + 0 = 0 for t.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295 is divided by 68?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0747558ns in seconds?\nAnswer: 0.0000000000747558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15289 is divided by 392.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 47 - 20. Let f = s + -28.9. Let v = 2.1 + f. What is the closest to v in -0.5, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11562775 divided by 7\nAnswer: 1651825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2608168 is divided by 521632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 26*y + 30*y + 0.\nAnswer: 56*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 - 17. Let r = f + 9. Solve -4 = r*i + 4*g, 2*g - g = -5*i + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*b - 1004 - 376 = 0. Let v = b + 98. Calculate the lowest common multiple of v and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2149\/858 - -35\/429. What is the common denominator of v and -109\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 130203278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 102359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.311 + -0.311. Let p = 2.14 - 2. What is the biggest value in o, p, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 o when four letters picked without replacement from otataoataoaaa.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 17733 less than 1512?\nAnswer: -16221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -443.5 times 74344\nAnswer: -32971564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/32*(-87)\/(-87)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5758 is divided by 1863?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18939.72 millilitres to litres.\nAnswer: 18.93972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -348589 from 14.52469992.\nAnswer: 348603.52469992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -137, -320, -577, -908, -1313, -1792?\nAnswer: -2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3\/64 + -229\/576. Which is the smallest value?  (a) -1\/6  (b) t  (c) 17  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1846 = 5*j + 5*w + 1896, 0*j + 3*j - 35*w = 160 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q + 875 = 953 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -14.7 - 45811.06\nAnswer: -45825.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 15 - (276 + -324)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -348662 or -349289?\nAnswer: -349289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 151861746 a multiple of 7914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 129310382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8 - (-98)\/12)*(-2 - 0). Which is the nearest to 0.2?  (a) -3  (b) -1  (c) -8  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t + 5. Let z(w) = -w**3 + 15*w**2 - w + 19. Suppose -p - 41 = -3*j, -5*j + 33 = -2*p - 34. Let v be z(j). What is the units digit of y(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 96367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*q**4 + 6760*q**3 + 2856100*q**2 = 0. What is q?\nAnswer: -845, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 1845769 = 117*j - 113*j, h - 922881 = -2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1624432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 PM and 11:02 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14\/115 + -12\/23. Is 2 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 5*i + 9 = g, 3*g + 4*i - 8 = 0. Let u be 90\/(-2 - 16) + (6 - -1). Suppose -u*x = -g*o - 1186, 0*x + 2367 = 4*x - 3*o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n - n**3 + 5*n**3 - 3*n**3 - n to the form j*n**2 + f + z*n + g*n**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a**2. Let h = -140 + 157. Let n(o) = 0 - h - 2 + 20 + 44*o. What is y(n(p))?\nAnswer: -3872*p**2 - 176*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (13244\/(-385))\/(-1 + 563\/565)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (72\/(-372))\/(15\/5)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-15) - 2\/5. Let c(g) be the first derivative of g**3\/3 + 3*g**2 + 2413*g - 435. Is c(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-20)\/6*(-540)\/2880)\/3)\/(-5).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/h**(8\/5)))**(41\/5)\/((h**(-4)*h*h*h)\/h**21))**30 assuming h is positive.\nAnswer: h**(5268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*r - 109*r + 8 - 11.\nAnswer: -47*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 111 and 3552.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.67064 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13678873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-102)*-3 + (-260)\/(-221)*-11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 - (3 - 2 - 3). Let s(l) = 2*l**2 - 23*l - 14. Let g be s(12). Which is the closest to -0.5?  (a) -2\/3  (b) u  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -10102222?\nAnswer: -10102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 3 + 10*y - 1.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2425 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60989 is divided by 100?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(4\/5)*z**(-3))\/((z*z**(-6)*z)\/z*(z\/z**(-5))\/z))\/(z*(((((z\/(z**(-8)*z)*z*z)\/z)\/z*z*z)\/z)\/z)\/z*z**(5\/3)*z*z**7\/(z**2*z)) assuming z is positive.\nAnswer: z**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 848*c + 51300 = 858*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*h**2 + 57*h + 7*h**3 - 32*h - 25*h + 2 as j*h + p + k*h**3 + f*h**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t + 18 - 39 + 3*t. Let z be w(5). Find the second derivative of -255*b**4 - 3*b - 13*b + 254*b**z wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(-3) + (-776)\/(-12). Let z = -32 + s. Let p be -1 + (-4)\/4*-23. What is the greatest common factor of z and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 33754?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 8 = -x - x, 20 = -3*i - 5*x. Let n = -0.05 + -1.15. Let m = n + 0.2. Which is the nearest to i?  (a) m  (b) -3  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 369 divide 78735865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 793002851?\nAnswer: 353, 2246467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -41 - -33. Let o = k + 8. Solve o = -4*s - 4*u + 24, 5*s - u = -4*u + 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.41 + 292.41. Let m = 44531.802 - 44822.802139. Let d = q + m. Round d to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*x**2 - 65*x**2 - 1 + 186*x**2.\nAnswer: 61*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 4*p + 27. Let q be m(-6). Suppose 0 = -q*c + 4*c - 3207. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/3  (b) -5  (c) 0  (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-8 + 4 - -5) - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8256 + 18110. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -479 and -95555?\nAnswer: 45770845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 61*g - 63129*g**5 - 252*g + 54*g + 57*g + 80*g + (-2*g**4 + 2*g**3 - 2*g**3)*(-3*g - g + 2*g).\nAnswer: -63125*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.042 + -0.142. Let q = -57 + 44. Let a = q + 92\/7. What is the second biggest value in 2\/7, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2691, -15427, -36659, -66393, -104635, -151391, -206667, -270469?\n\"Answer: -z**3 - 4242*z**2 - 3*z + 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 82730 or 82753?\nAnswer: 82730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -3*u + 227, 2*r = -2*u - 3*u + 393. Let m = 8 - 2. Suppose m*c + 17 = u. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 699 - 45423\/65. Let r = 1\/65 + h. Let d = -24 - -25. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, -156722, 53, 5, 1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -45*s**5 + 1905*s**4 - 19175*s**3 - 21125*s**2 = 0.\nAnswer: -1, 0, 65\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 5*w + 9*x - 3 + 81, -4*x = 4*w + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3410*m - 366*m + 153517 = 2744*m - 55123 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1026\/185 + 12396\/2035. What is d in l*d**2 + 0 - 12*d = 0?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 17*u - 9356 = -2*v, -2345 = -3*u - 2*v. What is the greatest common divisor of u and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 5 = 2*w - 4, -5*w - 4*h - 10 = 0. Suppose -4*v = -3*v + 5*t + 8, -5*v + 5*t + 20 = 0. Solve -v*a + 2*y - 10 = 0, -w*a + 0*y - 2*y = -10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -u**4\/12 - 4*u**3 - 29*u**2\/2 - 13*u. Let d be n(-17). Calculate the greatest common divisor of 36 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 25. Suppose -4*o - o - f = 0. Let c = -4 - o. Put 4, c, 0 in ascending order.\nAnswer: 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1337885 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from zzzgzzrgzzzr.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13244 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 30.356  (c) -12\/11  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*v, 0*o - o + 7 = -3*v. Let n = 551 + -535. Calculate the remainder when v\/6*-3 + 27 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 312 + 17. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*t - 440*t + 83*t + 2.\nAnswer: -537*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76023227 divided by 76023227.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k. Suppose 4*a = 2*a + m - 8, 2*a = -5*m + 4. Let h(y) = 3. Let w(p) = p + 4. Let i(v) = a*w(v) + 4*h(v). Determine i(z(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 - 4068*c - 416799. Determine r(-100).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -6*i - 146. Let u = 123 - 148. Let k be o(u). Solve j - l + 0*l - 4 = 0, -10 = 2*j + k*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1970745383 to the power of 1\/3, to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) 28  (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -6*t + 14. Let z(s) = 1. Let y(m) = -l(m) + 12*z(m). Let x be y(7). Let n = x + -29. Calculate the least common multiple of 6 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -19. Let u be c\/12*1*-15. Suppose 0 = -0*g + 3*g - o - 20, -10 = -5*g - 3*o. Solve g*l + 0 = u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2306 + -4058. Let n = z + 6949\/4. Let h = n + 65\/4. Sort -2, h, -3 in decreasing order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47015 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 3*d**3\/8 - 36765*d**2\/8 - 73539*d\/8 - 36771\/8 = 0.\nAnswer: -1, 12257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 257.4 - 260.4. What is the closest to 1 in q, -3\/5, -1\/90?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 109 and 27137839?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dia when three letters picked without replacement from adia?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 333*u - 1033*u = 534*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -12.38081 and 0.3291.\nAnswer: -12.05171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r = -14*r - 20. Suppose l + y + 2 = -2, 5*l - r*y = 0. Sort -1, 5, 6, l.\nAnswer: l, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 79 - 76 - (9 - 0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8624 - 0.3.\nAnswer: 8623.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 551.9952 litres in millilitres?\nAnswer: 551995.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 711226978.\nAnswer: 2, 7, 11, 4618357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -3*o + 3. What is the remainder when 2 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26554\/497 + (-4920)\/1435?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*d - 16*d + 74 = -11*d. Solve -7*z - d = -37 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9.853401ng?\nAnswer: 0.000000000009853401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84746 is divided by 113?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2441 - 1713. Suppose 3*h - p = -10*h. What is the highest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 5*i**2 - 43*i + 24. Let b(p) = 16*p**2 - 144*p + 73. Let c(d) = 4*b(d) - 13*z(d). What is c(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*u**2\/3 - 14300*u\/3 - 866125 = 0. What is u?\nAnswer: -2665, -195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 273739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 9, j: 4, f: 1}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - 3*x + x + 7 + 6*x**2 - 19 as p*x + o*x**2 + h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 2*p**2 + 3*p + 1. Let d be r(2). Let y = d - -1. Let m = 2 + y. Let z(v) = v**3 + 6*v**2 + 2*v + 8. What is z(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0244 and -21.3.\nAnswer: -21.3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s + 17*s**2 - 13*s**2 + 57*s**4 - 3*s**2 + s**3 to r*s**2 + g + x*s**4 + v*s**3 + a*s and give x.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**(3\/5)*m*m*m**(-2)*m*(m**(-1))**(-2\/35) assuming m is positive.\nAnswer: m**(93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*x - 36*x + 24 = 0. Sort 0.3, 4\/5, x, 0 in decreasing order.\nAnswer: x, 4\/5, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2 + 4*t - 34*t**2 + 109*t**5 + 86*t**5 - 4*t wrt t?\nAnswer: 11700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 358347174 from -278.\nAnswer: -358347452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-20))**24*(i\/i**24*i)**37 assuming i is positive.\nAnswer: i**(-1294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 15*w - 7. Let g be v(9). Let k(y) = 125*y**2 - 12*y - 7. Let z be k(-2). What is the greatest common divisor of z and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71041 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 8*x - 5. Let s(c) = -188*c + 1. Let f be s(1). Let w = 179 + f. Determine p(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 0.11, -0.4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -128.74603 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 - -0.1. Let v = 29 + -36. Let f be (-2)\/8*(v + 42\/7). Put -2, f, 5, y in ascending order.\nAnswer: -2, y, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4b094 (base 13) to base 3\nAnswer: -21001000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13567492?\nAnswer: 2, 659, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17845 - -17845.3. Which is the closest to -8?  (a) -2\/11  (b) n  (c) -0.1  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18.74002 - 67.15997. Let a = 48.4 + z. Let b = -0.02 - a. Round b to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-3 - -2) - -9 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 6*g**3 + 5*g**2 - 7*g + 55. Let m(f) = 7*f**3 + 5*f**2 - 9*f + 54. Determine 4*m(a) - 5*s(a).\nAnswer: -2*a**3 - 5*a**2 - a - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -267*i + 6. Let p(t) = 3470*t - 80. What is -3*p(q) - 40*v(q)?\nAnswer: 270*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 8:07 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 112 - 78. Let y be i*(-2)\/8*-6. Let b = 185 - y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1135221 (base 6) to base 12.\nAnswer: -2a511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4221927 by -3.\nAnswer: 1407309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2 + 7*i + i + 12*i. Let k be z(3). Suppose 5*q - k = -18. Calculate the least common multiple of 9 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.96 + -0.04. Let q = 3 + i. Let f = -1.1 - -1.3. What is the nearest to q in f, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence exnx when four letters picked without replacement from nnnxennxx.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 6:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 398 + -404.02. Let g = -0.02 - j. Let m = g + -3.2. What is m rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.01 - -0.01. Let u = 3.9603 - -0.0397. What is the third biggest value in 0.4, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 321*x**2. Let g(b) = 95*b + 1. Determine g(j(s)).\nAnswer: 30495*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6*u**3 + 17*u**2 - 16. Determine s(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 4*w**2\/3 - 182984*w + 259849700\/3 = 0.\nAnswer: 475, 136763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**4 + 14776*o**3 - 40936908*o**2 + 50406979384*o - 23275422730562.\nAnswer: -2*(o - 1847)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.2, 5, 3, -141, 4 in descending order.\nAnswer: 5, 4, 3, -3.2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(4\/5)\/(c*c**(1\/4)))**(-36)*(c*c**0*c*c*c*c*c**(-3\/4)*c)**(-4\/3) assuming c is positive.\nAnswer: c**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-6)*8*(63\/18)\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 2  (b) -0.22  (c) -3  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5.48 and 4.\nAnswer: 21.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 611*j**2 - 3 + 3 - 610*j**2 - 5*j. Suppose -x + 15 = 2*x. Determine d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177927 is divided by 58926?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = d - 195 + 39, -d = -5*r - 196. Let z = r + 48. Let b = z - 0. What is the least common multiple of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7331*y - 682*y - 549164 = 809*y + 121308 for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1496463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -2. Let k be (-11)\/(-2 + 3 + l). Suppose 0 = z + 3*y - 7 + 2, -5*y = -z - k. What is the smallest value in -2, -0.3, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.3 - -1.2. Which is the third smallest value?  (a) -3  (b) j  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -4  (b) -1  (c) -2  (d) -0.4  (e) -0.0343\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70479 is divided by 35232?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 288*d + 3*d**2 - 1 - 288*d. Let t(y) = -2*y**2. Suppose 2*q + 2*k - 12 = 0, 2*q - 5*k + 6 = -q. Calculate q*i(s) + 4*t(s).\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 50401 + -2322051?\nAnswer: -2231250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 54 + -47. Suppose -4*w + y + 21 = 0. Solve 0 = 2*f - w - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21152 + 140*g**2 - 25*g**2 - 21152.\nAnswer: 115*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/(-2))\/((-5)\/(-3)*(-20)\/50)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/19))**(1\/48))**(16\/7)*(i\/(i\/(i*i*i**5))*i*i\/(i**(-7\/4)*i))**31 assuming i is positive.\nAnswer: i**(482399\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 2*r - 14. Let n be h(-6). Suppose -2*v = -3*l - n - 68, l = -4*v + 190. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 324 - 161 - 163 + 375*t + 693*t.\nAnswer: 1068*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2\/49 + 143\/98. Let o = -114491221\/171 + 669537. Let y = o - -48\/19. Which is the third biggest value?  (a) 4  (b) y  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3395*x - 2. Let k be m(-3). Let b = k - 19257. Let f = -44926 + b. Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 60.94050759 - 18376.94139629. Let f = 18316 + n. Round f to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -199 + i - 287 - 116 + (4*i - 5*i + 0*i)*(0 + 3 - 1) - i - 2*i + 2*i + 4 - 4 + i in the form l*i + p and give p.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.9182 - -0.0818. Is j greater than -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 5, 136, -3, 358.\nAnswer: -3, 5, 7, 136, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29664461.\nAnswer: 3347, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -642.\nAnswer: -5\/642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2374 - -2373.7. What is the nearest to 1\/4 in -13\/5, -4, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21932 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v + 2. Let h be a(6). Let y be 2\/(-3) + h\/(-24). Let x(s) = -3 + 2 - 2*s + 2. What is x(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-3)*1692\/94?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1035, -1225, -1535, -1971, -2539, -3245, -4095, -5095?\n\"Answer: -j**3 - 54*j**2 - 21*j - 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 + 9*d - 11. Let a be k(11). Let c = a + 35. Suppose 26 + c = -n. Is n smaller than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -842600.\nAnswer: 1\/842600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*f**2 + 8*f**2 + 11*f**2 + 7*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/30)\/(4\/10). Let i be 20\/12 - 1 - 2\/12. Which is the nearest to i?  (a) -5  (b) -2\/9  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5186 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -1.7. Let r = 1.2 + z. Which is the nearest to 0?  (a) 0  (b) -0.2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1145243 + -43?\nAnswer: -1145306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(7) + sqrt(28)*3)*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -7*f + 4*f. Suppose -o + f = -0*o. Solve 2*v + o = -5*b, 4*v - 5*b - 7 + 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 54e23?\nAnswer: -54e25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*f)*(0*f + f + 0*f) + 18*f**2 - 6*f**2 - 94*f**2.\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*q**3 - 582*q**2 - 3438*q\/5 - 1026\/5.\nAnswer: -2*(q + 57)*(5*q + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -25 - (-27 - -50) - (22 + -5)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*v**4 + 178*v**3 + 42*v**2 - v + 502573.\nAnswer: 8*v**3 + 534*v**2 + 84*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (3*-3)\/(270\/270)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 4*j = 47, -88*t + 7*j - 69 = -83*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 316799 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 587 + -4083\/7. Let f = k + -59\/14. Suppose y = 6*y. Which is the closest to y?  (a) f  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 16 = u, 58*u - 128 = -2*i + 66*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-18)\/54)\/((-2)\/(-12)). Which is the smallest value?  (a) 8  (b) 0.4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - 10*y + 77. Let k be n(-15). Solve -5*x - 3*i - 2 = -0*x, i = -x - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -90 - (-16 - (10 + 14))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 854 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 3\/4, -2\/39, 5, -3\/7?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3*189\/819?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*p - 16*p + 34*p + 54*p**2 - 435*p**2.\nAnswer: -381*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 3102, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5628 or 28146\/5?\nAnswer: 28146\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*m, 2*o = 3*o + 5*m - 13. Is -1 + (-20)\/((-12)\/o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 34?\nAnswer: -7\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + (-66942)\/12)\/(2\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(12\/(-21)) - 0. Which is the smallest value?  (a) -0.2  (b) s  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - 0. Let r be (-45 + p*1)*3. Let d = r - -254. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 6*j**2 - 10*j + 13. Let o be n(2). Find the first derivative of 28*c**2 - 8 + 4*c + o*c**2 + 24*c**2 - 58*c**2 wrt c.\nAnswer: 22*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 2*v = 218 - 217, 4*v = -5*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - 115. Let l = z + 121.9999628. What is l rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 z when four letters picked without replacement from mzzmzmm.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 35 = 5*x, -2*p - 6*x + 2*x = -58. Suppose -5*v + p = -0*v. Suppose 2*j - v*h - 106 = -2, 3*h = -2*j + 72. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39\/118 + 3169\/944. What is the common denominator of w and 17\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -714*j + 700*j - 252 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -32, -32, -34, -44, -68, -112, -182, -284?\n\"Answer: -q**3 + 5*q**2 - 8*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2993 in -2\/5, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x + 10. Let z be j(-9). Suppose 5*r = -5*g + 3380, 5*g = 4 - z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8791, 1050, 17451, 40412, 69933?\n\"Answer: 3280*s**2 + s - 12072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -4*h - 13. Let g(m) = -2*m + 1. Give g(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/2424 and 23\/6.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 20*j + 2. What is h(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1136 - -0.01767.\nAnswer: -0.09593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -7*(62\/(-14) - (-4)\/(-28)). Solve l*u - 26*u = 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 213*u + 4975 - 2419 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3 = 3*p, 2*p + 0 = -2. Differentiate 2*n**2 + n**2 + 0*n**2 + k*n**2 + 2 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 480000*o. Suppose 3*t + 50 = -2*t. Let q be d(t). What is q rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 83*o**2*p**4 - 3*o**2*p**2 - 301*o**2*p - 18*o**2 + 1566*o*p**4 - 2*o*p**2 - 3*p**2 - 4*p wrt p.\nAnswer: 1992*o**2*p + 37584*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**2 + 87*a**3 + 12*a**2 - 86*a**3 + 76 - 12*a - 26*a**2.\nAnswer: a**3 - 12*a + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -5, 19, 53, 97?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-85)\/(-40) + 0 + -2. Let a be (14\/1)\/2 - (1 - -1). Suppose 5*u + 4*o + 7 = -1, -a*u + 6 = -3*o. Which is greater: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 5*f**3 - 3*f**2 - 2*f - 1. Let i be k(-3). Let j be 4 - ((3 - -3) + (88 - -2)). Let g = j - i. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/6 and 43\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 11:49 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 165, 86409 in descending order.\nAnswer: 86409, 165, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 243347838 to the nearest integer?\nAnswer: 15600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1336992090 to the power of 1\/4, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -197815, -197781, -197747, -197713, -197679, -197645?\n\"Answer: 34*g - 197849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*i**2 + 2*i**2 - 3*i**2 - 3*i**2 - 5*i**2 + 1.\nAnswer: 14*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(-109*v**3 + 38*v - 412*v**3 - 38*v).\nAnswer: -1042*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.04 + -0.14. Let r be ((-4)\/(-3))\/((-4)\/(-48)). Let q be ((-3)\/(-18))\/(4\/r). What is the nearest to q in -2\/5, 2\/5, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*a = -17*a - 510 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1523*z**2 - 121*z**3 - 1523*z**2)*(-3 - 3 + 3)*(-2*z - 2*z + 3*z)*(0 + 1 + 0) in the form a*z**4 + f*z**3 + l*z**2 + t + o*z and give a.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 = 5*u - 91. Let z(y) = 16*y + 70. Let k be z(-3). Calculate the greatest common divisor of k and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159*x = -162*x - 9. Let s = 0.3 + -0.2. Let f = 0 - s. What is the third biggest value in x, -0.4, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 210 + -51. Suppose -c + 18 = -4*j, 0*c = -5*c - 3*j + y. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (0 - 10) + 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 4*a + 28, -5*b + 35 + 20 = 3*a. Let w = 2 - 2. Sort w, -1, b in descending order.\nAnswer: b, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 169 + -168.6. Let k = 0.1 + -1.1. Let g = 0 - -5. Which is the second biggest value?  (a) k  (b) g  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -62, 4, -4 in decreasing order.\nAnswer: 4, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(576) - (5*sqrt(576)*2 - sqrt(576)) - (-2*sqrt(576) - sqrt(576))*4)\/(4*2*sqrt(32) - (sqrt(288)*-1 - sqrt(288))).\nAnswer: 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d**6*p**2 + 3185*d**3*p**2 + d**2*p + 21663*d*p**2 wrt d?\nAnswer: -360*d**3*p**2 + 19110*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.1 - 76?\nAnswer: -92.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -660.5?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6070.7549709 plus -0.2?\nAnswer: 6070.5549709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnjinbjnnbjin. What is prob of sequence jj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32862 + -23292. Is v a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 1110111010101101101100100?\nAnswer: 1110111010101101101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 12:55 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -34. Let v(o) = 6 + 0*o - 3*o + 2*o. Let g be v(-5). Calculate the greatest common factor of x and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22040 and 6612.\nAnswer: 66120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*a - 7 + 31 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -297 or -219?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 178113, 356220, 534327, 712434, 890541, 1068648?\n\"Answer: 178107*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 50 + -48. Let m(o) = 6*o**2 - o**2 - 5*o**2 - o**u. Let y(g) = -17*g**2 + 4*g + 4. Let b(v) = v**2 - v - 1. Let i(k) = 4*b(k) + y(k). Give i(m(p)).\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38042352 and 10699.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/4 - (-175)\/196)*35\/(-195)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136*k - 35*k + 404 = 0. Let i(n) = -n. Let q be i(0). Sort k, q, -198.\nAnswer: -198, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 106928 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2*l**3 - 582*l**2 - 1188*l + 4688 = 0.\nAnswer: -4, 2, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 4*g + 106. Let f be y(-9). Calculate the highest common divisor of f and 1918.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -805  (b) 6\/5  (c) 0.2  (d) -2\/3  (e) 3  (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 - 34*u + 150. Let a be s(-38). Suppose 3*y + 4*k = -13, -2*y + 0*y - 2*k - 8 = 0. Put a, -5, 2, y in ascending order.\nAnswer: -5, y, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 9, -5, 1, -71 in decreasing order.\nAnswer: 9, 2, 1, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.6 - 5.1. What is the nearest to -8 in b, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence feel when four letters picked without replacement from {l: 5, k: 4, t: 1, f: 1, e: 2, d: 2}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*f - m + 1 = 38*f, -4*m = -f + 14 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 8:16 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -92455867, -92455868, -92455871, -92455876?\n\"Answer: -d**2 + 2*d - 92455868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -22832, 55, -2 in increasing order.\nAnswer: -22832, -2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -146 divided by 296.\nAnswer: -73\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*b**2 + 4*b**3 + 6 + 19*b - 18*b - 7*b**2 - 5 in the form r*b**2 + a*b**3 + f*b + v and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-834)\/(-30) - (-1)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(637)*-3 + sqrt(13))**2.\nAnswer: -200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 176337, 352656, 528975, 705294?\n\"Answer: 176319*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {m: 9, v: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-5)\/(-2))\/(15\/(-30)))\/(2\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {p: 1, a: 1, y: 1, x: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100001001000100010 - -101101?\nAnswer: 100001001001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (4\/32)\/(1\/12*3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q - 3*q + 3*q + 2198 - 3*q - 2129. Give h(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -369889*m + 1792*m**2 + 369889*m as c*m**2 + s*m + r and give c.\nAnswer: 1792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i*i**(2\/45)*i*i**17 assuming i is positive.\nAnswer: i**(902\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 - 44652*s + 16567360.\nAnswer: -(s - 368)*(s + 45020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3.777+5424118\nAnswer: 5424114.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*b**3 - 23*b**3 + 45*b**3 - 25*b**3 - 7*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2733 - -3?\nAnswer: -2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107911?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -2090  (c) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 21\/14 + (0 - 1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0*b**2 + 2*b**2 + 3*b**2)*(1 - 6 + 3)*(1 + 7 - 4) - 25*b**2 - 18*b**2 - 17*b**2 as w*b**2 + f*b + a and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -8113365 divided by 27\nAnswer: -300495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16)\/(-5) + 8\/10. Let x be 24\/(-18)*6\/f. Let w(p) = 4*p**2 - p + 1. List the prime factors of w(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43956 divided by 1998\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -1  (b) 2\/7  (c) -861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.012 - 1.1308617855665\nAnswer: -1.1428617855665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 427*z + 114088. What is v(-267)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of 2*i**3\/3 + 32*i**2 + 512*i - 50. Find h such that x(h) = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17225 + 3000. What is the highest common factor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32+-110129904.96\nAnswer: -110129872.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/7)\/((-16)\/(-1512)*-9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, 5 in descending order.\nAnswer: 5, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -199*p**2 - 415*p - 934334 wrt p?\nAnswer: -398*p - 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z - 39*z + 10*z.\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 798345964?\nAnswer: 2, 13, 131, 163, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*x = -28*x + 15. Suppose 42 = 4*y + 3*i, 5*i - 15 = -x*y + 35. Suppose -10 = -y*n + 17*n. What is the third smallest value in n, -0.4, -4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 + 21. Which is the nearest to d?  (a) 0.4  (b) 0  (c) 2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 t, and 1 q when four letters picked without replacement from mmqtqmq?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -7*s**5\/4 - s**4\/12 + 10*s**3 - 129*s**2. Find the second derivative of q(p) wrt p.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 459 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2183691 divided by 727897?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1399 from 0.4132864.\nAnswer: 1399.4132864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -q**5\/20 - 2*q**4\/3 - 7*q**3\/6 + 3*q**2 - 2*q. Let o be b(-7). Is (993\/o)\/(1\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/3 - 1082*v**2 + 874788*v + 5287752.\nAnswer: (v - 1626)**2*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*y - 62*y - 240 = -110*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1287.9996101 + 1288. Round u to 5 dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7188782 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**2 - 4*v + 2. Let l be w(2). Suppose 717 = -l*k + 6*k + 3*y, -4*y + 716 = 4*k. Let c = k + 37. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3158, 6316, 9474, 12632?\n\"Answer: 3158*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -230*m - 414*m + 4*m to i + k*m and give k.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 31 = 5*m. Let l(x) = -4*x**3 + 5*x**2 + 8*x - 2. Let o(u) = -11*u**3 + 15*u**2 + 23*u - 6. Let b(h) = m*l(h) + 3*o(h). Calculate b(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6836141.21 - 218.4.\nAnswer: -6836359.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**5 - s**3 + s**3 + (s + 2*s**4 - s)*(3*s - 6*s - s).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -47*j**3 + 2208*j**2 - 437229*j.\nAnswer: -282*j + 4416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48749064, 48749061, 48749058, 48749055?\nAnswer: 48749052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -9*l + 12. Calculate q(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 7:18 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4240, -4238, -4238, -4240?\n\"Answer: -x**2 + 5*x - 4244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3894551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10.48425 - -0.5\nAnswer: -9.98425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -858703 - -858705. Let 1\/7*d**5 + 0 + 0*d**3 - 2\/7*d**u - 1\/7*d + 2\/7*d**4 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - 20*p**2 - 20*p - 17. Let a be b(-19). Solve 2*r + 3 = -z, -5*r - 45 = -3*z - a*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16224 and 138.\nAnswer: 373152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 56396829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 43*s**3 + s**2 + 456 with respect to s.\nAnswer: 129*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b - 3 + 4 + 59834*b**2 - 60266*b**2 to the form x*b**2 + m + s*b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3040 and 300200?\nAnswer: 1200800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kwwxkkvwwikwwkwww. Give prob of sequence kxw.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 22007826 divided by -2714?\nAnswer: -8109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 109*k + 635. Determine v(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.59 - 0.41. Let c = b - -6.6. What is the third smallest value in 1\/3, c, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -1) + (-1 - -1) + 228 + -233?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**2 + 25*d - 70. Let s be b(14). Is (1375\/4 - 1) + (-28)\/s a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 165938068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -5649432*q**2 + 45936. Let c(k) = -12545*k**2 + 102. Let x(r) = -17*a(r) + 7656*c(r). Let b(h) = h**2. Calculate x(b(t)).\nAnswer: -4176*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 142.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 8 + 10 = 0. Let h(i) = -i**3 + 5*i**2 + 6*i + 5. Let g be h(n). Solve 5*r + 40 = -3*c - 2*c, g*c = -4*r - 37 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*i - 24*i - 176 = -34*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -131*n - 6*n + 56*n + n + 6*n + 58*n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -646, -606, -494, -274, 90, 634, 1394, 2406?\n\"Answer: 6*y**3 - 2*y - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-56)*-134*(1672\/(-114))\/(-11).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*q - 903 - 1356 = -423 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 2:14 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3829 = 4*z - 11319. Suppose -3*o + 3*f + 26286 = 0, 2*f - z = o - 12552. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 51 = -0*s - 5*s, -5*s = 0. Suppose 9*u + 8*u = -i. Sort 1, -19, u in increasing order.\nAnswer: -19, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*b - 634 = -4. Let y(z) be the second derivative of -z**3\/2 - 9*z**2\/2 - 2*z. Let m be y(-6). Calculate the highest common factor of b and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l + 2*l**2 - 3*l + (l + 3*l - 2*l)*(-2*l - 2*l + 2*l) - 4*l**2 + 2*l**2 + 0*l**2 - 3*l**2 - l**2 + 7*l**2)*(1 + 0*l + 2*l + 2*l).\nAnswer: -4*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*r - 3*r**2 + 2*r - 3*r**2 + 2*r**2 wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 14*k**2 - 3. Let h(p) = 512*p**2 - 36*p - 112. Let v(r) = 25599*r**2 - 1806*r - 5600. Let o(z) = -301*h(z) + 6*v(z). Give 112*i(q) + 3*o(q).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -423, -400, -377, -354, -331?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 17*l**2 + 14*l - 20. Calculate m(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 6 = -3*w. Let y = w + 5. Suppose -7 - 11 = -y*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 14*a**2 - 1038*a + 144. Let c be q(74). Let x(k) = 4*k + 2. Let t(r) = r + 1. Let o(z) = -6*t(z) + x(z). Determine o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.06, -3\/14, 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.542 - -0.212. Let l = q - -1.33000416. Round l to 7 dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 194625\/27804 - (8 + -1). Let p = 658061\/305844 + y. What is the common denominator of p and 35\/69?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 2:29 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 6. What is z(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -7. Is 10 a factor of (-3)\/((-2)\/(56\/j))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 6*w - 99. Suppose 0 = -2*v + 5*v - w. Suppose -5*d + r + 18 = 0, 2*d + 4*r + 21 = 5*d. Calculate the greatest common factor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1482 a factor of 27741558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 54 = r. Suppose 5*s - r = 6. Suppose 0 = -i - 0*c + 2*c + 47, 3*c - s = 0. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13157667 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -100*p**5\/7 + 114680*p**4\/7 + 137748*p**3\/7 + 13784*p**2\/7 - 1312*p = 0. What is p?\nAnswer: -1, -2\/5, 0, 1\/5, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -23373.55 rounded to the nearest 100?\nAnswer: -23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n + 3*q - 11*q + 3*q + 28, 0*n + 35 = -5*n - 5*q for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 + 2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 + 0\/(-4) - (2 + 79). Let m = 94 + o. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -14.7. Let d = 1834 + -1836. Put 1\/4, t, -5, d in descending order.\nAnswer: 1\/4, t, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109*z - 13 + 13 + 113*z - 470*z + 132*z + 117*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (80\/(-64))\/((-10)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 3 = -5*p. Let r = 0 - -2. Suppose -3*v + d = 4, -4*v - d = -r*v + p. Is -0.2 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 9:11 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -116 divided by 4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-15) - (-77)\/105?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 141942 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 25\/(-4)*(-84)\/(-9). Let d = -59 - s. What is the third biggest value in 1, d, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/270)\/((-1)\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 5*x - 7*x + 3 + (-18*x + 2*x - 10*x)*(-3 + 2 - 1) - 2 + 2 + x.\nAnswer: 51*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 59, 111, 173, 239?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 669*u**4 + 3223*u**3 + 49*u**2 + 5*u - 17 wrt u.\nAnswer: 16056*u + 19338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**(-2\/11)))\/v*v**(2\/5)*(v*v\/(v*v**(2\/5)*v)*v)\/v**(1\/4) assuming v is positive.\nAnswer: v**(-19\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2 = -t - 22, -g = 3*t. What is the closest to -1\/4 in 0.4, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12\/7 in 4\/7, -5, 1\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.751 + 0.249. What is the closest to m in 3, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3*s + 1)*(-2*s - 2*s + 5*s)*(-1 + 5 - 2)*(2 + 3 + 1).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 11:47 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4303, -8600, -12897, -17194?\nAnswer: -21491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 divided by -60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9365 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i**3 + 11*i - 2. Let w(h) = 2*h**3 - 6*h + 1. Let b be (54\/(-15))\/((-21)\/35). Determine b*y(d) + 11*w(d).\nAnswer: 4*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7\/((-35)\/(-27060))*(-966)\/(-168)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/((-273)\/738) + (-112)\/1456.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 f when three letters picked without replacement from {h: 3, z: 5, e: 8, a: 1, f: 2}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rtbrrbbbtrbttt. Give prob of sequence rtb.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3918499511 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 49665487 and -10.5?\nAnswer: 49665497.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -1.48.\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 16715 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-3 + sqrt(1377)*1)**2 + -5 + ((sqrt(1377) + -3)*1 - (3*(sqrt(1377) + 2))**2).\nAnswer: -11049 - 369*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 10 = -a. Suppose a*i + 3*l + 3 = 0, 2*l + 21 = -2*i + 7*i. Suppose -4*p = -2*u + 30, 2*u + i*u = -4*p + 19. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 686 - 711. Let d(q) = 7*q**3 - 15*q**2 + 65*q + 69. Let c(y) = 30*y**3 - 60*y**2 + 260*y + 275. Let x(i) = h*d(i) + 6*c(i). Solve x(o) = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -467395, -934658, -1401921?\n\"Answer: -467263*m - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 70\/(-5)*((-18)\/45 + 1\/(-10)). Solve -2*b - j*d + 12*d = 0, 2*b - 16 = -3*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*m + 8*m - 8*m + 7*m - 2 to j + q*m and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6679397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 52\/6 - (-28)\/(-42). Let f(x) = x - 7*x + 0*x. Let g(m) = -4*m. What is r*g(k) - 5*f(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28534 (base 9) to base 15.\nAnswer: -5b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 55986379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -15*u**2 + 53*u + 11. Let f(j) = -8*j**2 + 27*j + 6. Let v(g) = -11*f(g) + 6*o(g). Find the second derivative of v(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 - -35. Let w(a) = 7*a + b*a - 18*a. Let u(m) be the second derivative of -5*m**3\/3 - 2*m. Determine u(w(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.88251 hours to milliseconds.\nAnswer: 17577036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -14723152?\nAnswer: 1472315.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -781.635 rounded to 0 dps?\nAnswer: -782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-12))\/((-26)\/39). What is the closest to l in -0.4, 5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 + 3*t**3 - 21*t**2 - 16*t**2 + 13 + 2*t**2 as a*t**2 + m*t + x*t**3 + h and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -40729 or -285105\/7?\nAnswer: -285105\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -126301504*c**2*v + 2*c**2 + 2*c + 6723814 wrt v?\nAnswer: -126301504*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -402653?\nAnswer: -161061.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -8*c**2 + c + 1. Suppose 5*d = 2*q + 3, -2*d - 5 = q + 1. Let t be o(d). What is the common denominator of (54\/88)\/(t\/64) and -4\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -65 + 57. What are the prime factors of 4\/d*-2 - -110?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.7  (b) 376  (c) -644  (d) -5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -21*o**3 - o**2 - 12*o - 7. Let m(y) = -21*y**3 - 2*y**2 - 11*y - 7. Let q(x) = -5*f(x) + 6*m(x). Suppose -22 = 3*l - 7. Is q(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47729763307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (243*i - 243*i + 34*i**2)*(-2 - 2 + 3) + 1 - 1 - 2*i**2.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -46b7c + -2?\nAnswer: -46b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**(2\/5)))**(18\/5) assuming c is positive.\nAnswer: c**(36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 28321 divided by -223?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20536898600 rounded to the nearest 1000000?\nAnswer: 20537000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3673 - -3691. Which is the second biggest value?  (a) 1  (b) 5  (c) q  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -22 - -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.08013 + -0.08013. Which is the third smallest value?  (a) x  (b) -6  (c) -3  (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1808 and 445040?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2312, -3888, -4734, -4850?\nAnswer: -4236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50811550.\nAnswer: 2, 5, 1016231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1412*h*y**2 + 12040*h*y - 2*h - 3*y**2 wrt y.\nAnswer: 2824*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 10*j**2 + j - 10. Let a be o(10). Suppose 0 = 32*s + 1308 - 3612. Suppose a = -v + 3*v - s. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.04 and -4941.379.\nAnswer: -4941.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 PM and 6:04 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 27001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 1\/4, -14, -5101\/4 in decreasing order.\nAnswer: 1\/4, -14, -35, -5101\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14344692*n**3 + 18783802*n wrt n?\nAnswer: -86068152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*d - 5*b, 2*d - 6*b = -7*b + 9. Let n be 3 + -2 + d + 2. Solve p - n - 10 = -3*l, 4*p - 15 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.002 + -11210560.\nAnswer: -11210559.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 33*i**3 - 2*i**5 - 13*i**3 + 4*i**2 - 14*i**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/(-3) + -1 + 11. Let z be ((-32)\/6)\/(4\/(-30)). Suppose -5*w + z = -25. Calculate the highest common divisor of y and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 513909 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 6*c**2 + 11)*(1 - 1 + 2 + (-2 + 3 + 0)*(2 - 3 - 1) + 3 - 2 + 0 + (-1 + 2 - 3)*(-245 + 131 + 123)) to m*c + j*c**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 684630?\nAnswer: 2, 3, 5, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5*h - 5. Let j be c(-12). What is the greatest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -254 + 668. Suppose 5*g - o - 41 = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cnoo when four letters picked without replacement from cfono?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89 = -30*p - 121 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 3*k - 11, g = 2069*k - 2074*k + 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -886 from -0.11.\nAnswer: 885.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 4*z + 4. Let k be f(0). Let n(v) = 2*v**2 + 4*v - k*v - v**2. Let t(d) = 7*d. Give n(t(a)).\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -332, 1, 0 in ascending order.\nAnswer: -332, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -302\/11  (b) 7  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1775*u + 14*a - 11 = 1778*u, 0 = -2*a - 4 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 174.2065ng in milligrams?\nAnswer: 0.0001742065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -74, 72 in descending order.\nAnswer: 72, 4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 10633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 2*s + 11. Let r = -7 + s. What is the units digit of 1 + (r + -224)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**2 + 712 + 547 + 4*d - 2800 + 1059.\nAnswer: -3*d**2 + 4*d - 482","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2001020 (base 3) to base 16\nAnswer: -5d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 508499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4769, 4762, 4755, 4748, 4741?\nAnswer: 4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nppnnwpw. What is prob of sequence ppwn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/10  (b) 2  (c) 4  (d) 359349\/8  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - -0.4772344.\nAnswer: 0.0772344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5633, 5614, 5581, 5528, 5449, 5338, 5189?\n\"Answer: -r**3 - r**2 - 9*r + 5644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i**5 + 940*i**4 + 18630*i**3 - 4901580*i**2 - 232179075*i + 237061080 = 0 for i.\nAnswer: -87, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 13 = -17. Let y(h) = 30 + 7 + 7 + 3*h - 4 + h. What is the tens digit of y(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -152, 1\/4, -5, 0.3, 0, -81, -4 in increasing order.\nAnswer: -152, -81, -5, -4, 0, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001101101001110 - -100011?\nAnswer: 1001101101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 5\/508 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6912.774 litres in millilitres?\nAnswer: 6912774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - 119 - -289) + -96.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*v**2 + 12 - 12 + 48*v**2 + 128*v**2.\nAnswer: 116*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44615.\nAnswer: 5, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 10*j - 105. Let a = -4 + j. Suppose 0*l + 2*l - 106 = -5*u, -a*u + l + 112 = 0. What is the lowest common multiple of u and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/6 at most 100\/1579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -159 + 110. Let h = -49.00000113 - z. What is h rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23479.\nAnswer: 53, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4055 + 4758. List the prime factors of r.\nAnswer: 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 5*s**2 + 2*s - 1. Let t = 17 - 13. Suppose 0 = 5*r + t*x - 5, 0*x = 4*x - 20. Calculate w(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/((i*i\/(i*i\/i**(2\/5)))\/i*i))\/i*i**6\/i*i)**(-2\/17) assuming i is positive.\nAnswer: i**(-66\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4703 (base 13) to base 5.\nAnswer: 304344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-1)\/(-9))\/(2\/262*-2) and -40\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence txa when three letters picked without replacement from altxarxtaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2164, -4323, -6480, -8635, -10788, -12939, -15088?\n\"Answer: u**2 - 2162*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -105, 15519 in descending order.\nAnswer: 15519, -11, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8838 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -127 - -1398\/11. Let v be 5\/15*(1554 - -12). Let r = v + -3133\/6. Which is the second biggest value?  (a) r  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 - 3. Suppose b = t + 3*t - 5*n, 0 = -5*t + n + 5. Suppose -3*f = 5*h - t - 3, -5*h - 21 = -f. Are 4 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -38*j**2 - 21041*j - 4565963 wrt j.\nAnswer: -76*j - 21041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -779 and -0.4.\nAnswer: 311.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21065 and 16852?\nAnswer: 84260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-3*sqrt(176)*1*-1*-6 + 2)**2.\nAnswer: 576*sqrt(11) + 228100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.06, -22282, 4 in increasing order.\nAnswer: -22282, 0.06, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16800 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1600, 6500, 14668, 26104, 40808, 58780, 80020?\nAnswer: 104528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*m + 31*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -28 + 17 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7623) + sqrt(7623)*-2)**2*3 - (-2*2*sqrt(504) - sqrt(504))\/sqrt(8).\nAnswer: 15*sqrt(7) + 22869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2572533787 to the power of 1\/3, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + 8*b**2 + 7*b + 6. Let t be g(-7). Let n be (-4 - 0)*t\/(-60). What is the nearest to -1 in -2, n, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 - 9*a + 6. Determine q(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 13.76. Let n = 1.14 + p. Let r = -3.9 + n. What is the third smallest value in -1, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/580 and -11\/575660.\nAnswer: 16694140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2*156\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**5 + 125*t**4 - 13614*t**3 - 635346*t**2 - 412885*t + 208725 = 0.\nAnswer: -55, -1, 1\/3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -635883, -635903, -635937, -635985, -636047?\nAnswer: -636123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 1. Let h(s) = -s**2 - 5*s + 7. Calculate 2*h(y) - 14*q(y).\nAnswer: -2*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g. Let n(k) = -24*k. Determine 40*d(q) - 2*n(q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53928.98l to millilitres.\nAnswer: 53928980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**3 - y**3 + 4*y**3 - 3*y - 4*y**2 + 4*y - 1. Let k be v(5). Suppose 0 = -2*t + 6, t + t + k = 5*w. Solve -2*a + w*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k = 30 + 66 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02058198 to 4 dps.\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 140 by 1327179.\nAnswer: 20\/189597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 0.04, 1\/3, -2, -0.27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -236446510 by -1.\nAnswer: 236446510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 5*d - 8*l - 360, 0 = 4*d + 3*l - 253. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24831 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -0.05  (c) 22  (d) 6  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18 + 2*w**3 - 2741*w + 1366*w - 719*w**2 + 1349*w wrt w.\nAnswer: 12*w - 1438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1322609*14\nAnswer: -1.8516526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -g + n, -4*g + 16 + 3 = 5*n. Let x = -17 + 10. Let o = -2 - x. Is g at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917015553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w + 4. Let a(g) = -5*g - 7. Suppose 0 = 2*z - 2*b + 15 + 9, 0 = 4*z + b + 23. Suppose 12*d = 7*d - 20. Calculate d*a(c) + z*l(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4841321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 93434 - 38522. Let m = f - 17471. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 27*u + 230 + 845 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 291579737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-85)\/51)\/((-2)\/((-396)\/15))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1804 - 1804. Which is greater: 0.01628 or h?\nAnswer: 0.01628","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 260*u**2 + 715*u + 565. Let m(w) = -4*w**2 + 5*w - 2. Let n(f) = a(f) + 20*m(f). Factor n(z).\nAnswer: 5*(4*z + 15)*(9*z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrfccecrbrxrrbrefe. What is prob of picking 2 b and 2 f?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 0.4, -17, -2, 1\/12, 2, -1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 6:39 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by 81.\nAnswer: -11\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -89\/5 + 18. What is the closest to -1 in i, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -0*a + 28. Let n(o) = -6*o - 8. What is the remainder when 106 is divided by n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 - 3*x**2 + 2. Let z be w(3). Let i(v) = -8 + 4*v + 0*v - v**z - 2*v**2 + 4. Let y(r) = 3*r**2 - 3*r + 3. Calculate -3*i(c) - 4*y(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 11) + (-1 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmumuummmmuumummmm. Give prob of picking 3 m and 1 u.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15912642 + 0.75.\nAnswer: -15912641.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2278 - 7533 = -1051*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25542 by 129.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 27  (b) -1  (c) 2  (d) 5  (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 6*o**3 - 9*o**2 - 21*o + 1. Let z(b) = b**4 - 16*b**3 + 27*b**2 + 64*b - 3. Let n(h) = -8*d(h) - 3*z(h). Find the second derivative of n(x) wrt x.\nAnswer: -36*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -4*m**5 - 84*m**4 - 684*m**3 - 2700*m**2 - 5184*m - 3888 = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n**3 + 10*n**2 - 9*n. Let x(r) = -5*r**3 + 10*r**2 - 10*r + 1. Let l(j) = -6*x(j) + 7*y(j). Give l(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -45902*i + 1107. Is w(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*y + 10 = 0. Suppose -y*t + 5 = 5*b + 23, 4*b = 2*t + 36. Let f = t - -11. Let i(k) = 4*k + 4. Determine i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -65 + -104. Let v = 171 + k. Let p = -4\/7 - -23\/28. What is the closest to 1 in p, -2\/5, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 321245 and 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 45\/4 of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.12675  (b) -1  (c) -4  (d) 0.4  (e) 1\/2  (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3099, 3081, 3053, 3009, 2943, 2849, 2721?\nAnswer: 2553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l - 9. Let r be k(-6). Let a be -1 + r - -1 - -179. Suppose 6*b - 2*b - a = 0. Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.65648387*-0.5\nAnswer: -3.328241935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 861 and 2045.\nAnswer: 1760745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 5*z = -37, -13*j + j = -9*j - 3*z - 33 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -311 + 315. Let h(z) = -20 - 1 + 4 - v*z + 0. Calculate h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**5 - 17*w**4 + 14*w**4 + 3*w**5 + (0 + 1 + 0)*(w**5 - 5*w**5 + 3*w**5).\nAnswer: 3*w**5 - 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2858 - -0.4858. What is the smallest value in -18, t, -0.4, 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-4)\/(-2)*(-55)\/(-22)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23920040 to the power of 1\/2, to the nearest integer?\nAnswer: 4891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(891)*2)**2*-3 + -5)*2.\nAnswer: -21394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4941\/7 - -708. Let s = j + -17\/7. Which is the third smallest value?  (a) s  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 10:46 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -161, 0, -5, 157, -14, -426.\nAnswer: -426, -161, -14, -5, 0, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a - 2. Let s be g(-6). Sort s, -3, 5 in increasing order.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 628 + -627.4254. Let w = z + -0.58. Round w to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 13 = -2*u, -4*l - 2*u = -34 + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + o + 0*o - 2)*(-3 + 8 + 6)*(-2 + 2 - 1 + 2 - 4 + 3 + (2 + 3 - 7)*(-3 + 0 + 1) - 2 + 0 + 0 + 3 - 2 - 2).\nAnswer: -22*o - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -278*p*w**2 + 21532*p - 4*w**2 + 132*w - 2416 wrt p?\nAnswer: -278*w**2 + 21532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 2*z - 3. Let d be x(8). Let a = -47 + d. Let o be a\/(-9) + 1898\/(-2223). Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 28*m. Let r(y) = 4*y**2 - 15*y**2 + 6*y**2. Determine d(r(s)).\nAnswer: -140*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + z - 2*z + 3 = 5*a, -3 = -3*z - 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 11:47 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 193\/133670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 7*a - 2. Let n(d) = -3*d + 16. Let j be n(8). Let v be o(j). Suppose v*x - 126 = -0*x. What is the greatest common divisor of x and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -14, -1 in decreasing order.\nAnswer: 4, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-5) + 17\/(-5). Let h = -2 - r. Differentiate -h + 1 + 1 + 2*j wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -3. Let y(f) = 3*f + 3. Let z(c) = -c - 1. Let m(w) = 3*y(w) + 8*z(w). Let o be m(-2). Is s at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/((-88)\/(-128))*(0 - (-2 + 3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 19225, 19230, 19235, 19240, 19245, 19250?\n\"Answer: 5*v + 19220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = s - 4. Let b(f) = 2*f**2 - f - 2. Let l be 16*1 + -2 + -2. Let w be (-8)\/l + 14\/(-6). Let p(i) = -1. Calculate s*b(k) + w*p(k).\nAnswer: 2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 7*o - 2. Determine d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*c - 3)*(-2*c + 0*c + c) + 3*c**2 - c**2 - 3*c**2 - c**2 - 1 + 1 + (0*c**2 + c**2 + c**2)*(-1 + 5 - 2) + 6*c**2 - 4 + 4.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 - 3*f. Let g be p(-3). Suppose y - 319 - 46 = g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2 = -2, -4*z = -3*f + 19. Let d = 2343 - 2341.717. Let x = 0.883 - d. Which is the third biggest value?  (a) x  (b) -0.02  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.5 - 1.5. What is the nearest to t in 4, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 5*l - 11, l = 930*o - 925*o + 39 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of b**4\/12 - b**3\/6 - b**2 + 12*b. Let l be w(3). Calculate the greatest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + sqrt(76)*1 + sqrt(76))**2 - sqrt(19) - (sqrt(19) + (sqrt(114)\/(-3*sqrt(6)))**2).\nAnswer: -2*sqrt(19) + 6137\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31067*u**3 - 52*u**2 + 52*u**2 - 174416*u**3.\nAnswer: -205483*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15688340.\nAnswer: 2, 5, 107, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/(-1479)*3\/(((-98)\/(-14))\/(-7))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/530 and -13\/26768975.\nAnswer: 53537950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 82131320 minus 0.0060137?\nAnswer: 82131319.9939863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/392 and -121\/6860.\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -13, -4, 188, -7, 22, -0.2.\nAnswer: -13, -7, -4, -3, -0.2, 22, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -7. Let v(f) = -f**3 - 7*f**2 - 3*f - 3. Let n be v(s). Suppose 3*y = 666 + n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 471 - 451. What is the highest common factor of 85 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9137446223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -125.\nAnswer: -4\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 9 - -12 - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18*44\/13552)\/((-3)\/11).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11555 divided by 555\nAnswer: 2311\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17138 and 210254.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 2:38 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14.991 + 0.009. What is the second smallest value in 2, -0.1, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51806509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.07, 4, 2\/17, -389, -17, -1\/10?\nAnswer: -389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(200) - -2*(sqrt(50) + sqrt(800)))\/(sqrt(200)\/(sqrt(5)*1)*-6).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -934*l - 28054. Calculate h(-30).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -2\/5, 1, -3\/8, 2913, 38.\nAnswer: -2\/5, -3\/8, -2\/9, 1, 38, 2913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -9*o - 16. Let u be h(5). Let i = u + 103. What is the remainder when 122 is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (1 + 0)) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 212820596 and 11248?\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**2 - 3 + 3 + 4*c**2 - 3*c**2 + c**2 + (3 - 3 + c)*(c + 3 - 3) + (0 + 3*c - 4*c - 1)*(-14*c + 3*c + 2*c).\nAnswer: 10*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-231)\/198*8\/21.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 496276822?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 11011110000100 (base 2) to base 15\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m**3 - 38*m**3 - 11*m**3 + 2*m**3.\nAnswer: -47*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17266*c**2 - 2*c + 132890.\nAnswer: 34532*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (12\/5)\/((-12)\/90).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*a**4*y**2 + 3579*a**4*y - 5*a*y**2 + 816*y**2 wrt a.\nAnswer: 48*a**2*y**2 + 42948*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1186107 is divided by 382?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 5, 2844, -2, 6, -0.2, 72 in ascending order.\nAnswer: -2, -0.2, 3\/4, 5, 6, 72, 2844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.7 + 5.7. Let n be (1\/(-82))\/(3\/18). Let z = 109\/369 + n. Put -1\/2, r, z in decreasing order.\nAnswer: r, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 + 2)*(-8 + 1 + 1)*(u + 2*u - 6*u) as i + a*u and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*x**2 - 4*x**2 - 2*x**2 + 22*x + x**2 as g*x**2 + t*x + r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/(-36)*(4 + 0). Let m = -3 + u. Let j(h) = h**3 + 7*h**2 - 8*h + 7. Is j(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -4. Let v = m - 1. Let t = 16 - 15.7. Which is the closest to 0?  (a) -1  (b) t  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 0*t - 10 = 0. Let l be 2 + 5 + t + 0. Suppose 3*h + 2*h - 35 = 0. Solve -5*x - l = 0, -h*c = -2*c + 2*x - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -77 + 94 - -1*25. Solve 38*o = 31*o + w for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 2 - -2 - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 703143 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - 8*c + 35. Determine q(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -193 (base 16) to base 10\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 4 + 1 + (3 - 1 - 3)*(-2 - 1 + 8))*(-38*h**2 + 127*h**2 - 65*h**2) to the form d*h**2 + r*h + j and give d.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that r**4\/5 + 8987*r**3\/5 + 17962*r**2\/5 - 14376*r = 0.\nAnswer: -8985, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 33 + 148 = 0. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 471923.\nAnswer: 471923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 6*a = 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 12 + 0 + 1 + -11 + (0 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -0.4, 2\/113, -3\/2, -1 in descending order.\nAnswer: 2\/113, -2\/7, -0.4, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**4 + j**2 - j**2 + (-j**2 + 2*j**2 + 0*j**2)*(0 + 0 - j**2) + j**4 - j + j.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -164393, -164405, -164417, -164429?\nAnswer: -164441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -122*i**6 - 96261*i**4 - 5244233*i**2 - 2?\nAnswer: -14640*i**3 - 2310264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 139\/72 - 14\/9. Are b and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**3 - s**2. Let k be m(1). Suppose -5*j = 4*q + 19, -2*j - 11 = -4*q + 3*j. Sort -5, q, k in descending order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + 14*p - 26. Determine d(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -10*u**2 + 5*u + 4. Let z(q) = q**2 - 16*q - 128. Let x be z(-6). Let h(o) = 21*o**2 - 11*o - 9. Calculate x*h(f) + 9*n(f).\nAnswer: -6*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -161 - -168. Which is the biggest value?  (a) h  (b) -0.4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 476 + -367. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*i + 50 = 81 - 134 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -3*d - 11. Suppose -9*u + 350 = -17*u - 42*u. Determine f(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.1 - -15. Let t = -0.8 + q. Let i = -12 - -7. Which is the second smallest value?  (a) i  (b) -1\/4  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.39 * -3.702.\nAnswer: -1.44378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(385)\/sqrt(63))\/(sqrt(80)*1 + sqrt(5) - sqrt(5)) + -3.\nAnswer: -3 + sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4695098 centuries in decades?\nAnswer: 4.695098","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of f**3\/3 - f - 8. Let m(l) = 5*l**2 - 2. Let b = 55 + -92. Let o = b - -38. Determine o*m(y) - 3*q(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 44 - 20. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-5)\/(-60) + (-7)\/12)*30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -107*f + 1057. Give a(-10).\nAnswer: 2127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -17590 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 8:48 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 3*t**4\/4 - 63*t**3 + 1209*t**2\/4 - 477*t + 237 = 0.\nAnswer: 1, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 2)*(-45)\/9. Calculate the highest common divisor of 375 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) + 2*sqrt(864))\/(sqrt(128)*2) - (1*sqrt(84))\/sqrt(567).\nAnswer: 101*sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + (4 - 2) + (-6 - -10). Let x(h) = 61*h**3 + 5*h**2 - 4. Let a(o) = o**3 + o**2 - 1. Give k*a(p) - x(p).\nAnswer: -57*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h + 1. Let b = 30 - 29. Let g be z(b). Suppose g*u + 3*p - 47 = 0, -u - 2*p = 12 - 33. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 7*d - 15. Suppose 0*a - d*i + 149 = 4*a, 4 = -4*i. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*5\/(-240)*(-5 + 11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 5 + 0)*(-3 + 6 - 2) - 1 - 6 + 3)*(-z**5 - 2*z**5 - 5*z**4 + 8*z**4) + 2*z**5 + 2*z**5 + 0*z**5.\nAnswer: 22*z**5 - 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*z + 4*z - 4*z)*(15 - 6 + 22 + 4) as a + g*z and give g.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 11*n**2 - 6*n + 4. Let q(c) = 5*c**2 - 3*c + 2. What is 13*q(t) - 6*x(t)?\nAnswer: -t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 33054199637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 92 - 68. What are the prime factors of 6\/(-14) + 501*p\/126?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 413764272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 732*r = -142*r + 5244 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - 6\/(-5))*-5. Suppose b*d + 363 = d. What is the tens digit of (-22)\/d - 282\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 15 = -2*h, -7*t = -3*t - 12. Calculate the remainder when (-9)\/(18\/(-64)) + 1 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 36822\/(1*60\/(-9)). Let f = j + 5530. Let u = -108655\/14382 - 1\/1598. Find the common denominator of f and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 9:53 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3097333534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 10 = 0, -w + 2*u = -4*w + 350. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 10*d - 100. Suppose 0 = -22*s + 17*s - d. Calculate the remainder when (-727)\/(-9) + s + 38\/9 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -5*g**5 + 961740*g**4 - 45853270310*g**3 - 37966085753460*g**2 + 76069727470915*g - 38057789408880 = 0.\nAnswer: -816, 1, 96581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -4, -2256, -1 in descending order.\nAnswer: 5, -1, -4, -5, -2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of f**4\/4 - 4*f**3\/3 + 2*f**2 + 5. Let y be z(4). Let t = y + -10. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 5*f**3 - 3*f**2\/2 + 4843*f + 4517. Find the first derivative of g(p) wrt p.\nAnswer: 30*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.2 in -0.031, -0.4, 75, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.063 and 410178382.\nAnswer: 410178382.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 3*b**2 - 2*b - 6. Let s be w(-3). Suppose 2*h - 1 - 7 = 0. Solve 4*p + p = h*x + 25, s = x + 5*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-1*sqrt(78)*-1*1)\/(-1*(-2*sqrt(66))\/sqrt(11)*3))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-3\/4)\/a**1)\/(a**(-6)\/a*a\/(a\/a**(-4))))**16 assuming a is positive.\nAnswer: a**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29959840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 7. Let t be ((-9)\/(-24))\/(9\/6). Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 1:30 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 220.6598mg?\nAnswer: 220659.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 652 a factor of 46589312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -50 + 54. Suppose 3*o = -4*c + 63, 7*o - g*c - 42 = 5*o. Solve 20*z - o*z + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -23. Let g = -8.2 + h. Let z = 107 - 747\/7. What is the nearest to 0 in -1, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**3 + 30*k - 30*k + k**3 + 5*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 3  (c) -1\/5  (d) -133  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 10*h - 15. Let b be w(12). Let r be (-1 + (-3)\/b)*3. Let g be ((-14)\/r)\/(3\/(-6)). Let f(j) = j + 2. Give f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((2*sqrt(1053) + 2 - (sqrt(1053) - (5 + sqrt(1053) + 2*sqrt(1053)))) + 4*(sqrt(1053)*-1 - sqrt(1053)) + -2))**2.\nAnswer: -9000*sqrt(13) + 421825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -576*r**2 - 2 - 5*r + 283*r**2 + 297*r**2 + 0*r**4 + 28*r**3 - 3*r**4 to the form h + n*r**3 + y*r + a*r**4 + f*r**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3\/2, -4, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaaapaaaabuaapabup. What is prob of sequence baa?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 9*l - 7. Let r = -9 + 3. Calculate the remainder when p(r) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/2)\/((4\/1)\/(314 + -306)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5603372 micrograms in nanograms?\nAnswer: 560.3372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 200384873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(-2))\/((-2)\/16). Suppose 51*w - 144*w = -930. What is the greatest common factor of w and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gyypguygbyhy. Give prob of sequence pb.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 15*l**4 + 57*l**3 - 3*l**2 - 33*l. Let n(r) = 6*r**4 + 23*r**3 - r**2 - 13*r. Let t(j) = -12*n(j) + 5*x(j). Factor t(c).\nAnswer: 3*c*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 2:25 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 8*m**2 + 6*m. Let x(n) = -20*n**2 - 15*n - 2. Let k(f) = 62*f**2 + 46*f + 7. Let a(u) = -2*k(u) - 7*x(u). Determine 6*a(o) - 13*h(o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1*-309\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 0 + 3*c + 2*c + (3*c - 6*c + c)*(-2 + 2 + 1).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -124*c + 146*c - 70*c - 59 wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zllz when four letters picked without replacement from zlzzzlzzzzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -h - 12, -3*h + 14 = 5*k + 6. Solve 5*g + 3*b - 1 = 0, -k*b + 0*b - 6 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32047 and 3512.\nAnswer: 256376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 7:55 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6453 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 5*m**2 - 2*m + 3. Let l(t) = t + 7. Let q be l(-7). Suppose -2*s - p + 6 = s, 10 = 5*s - 4*p. Let x be q\/s - (-3 + -2). Determine v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvrrrviriivvvv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*(s\/s**1)\/s))**6 assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7503851 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, l: 8}. Give prob of sequence lnln.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*k - 256*k + 109*k + 104*k.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1935 is divided by 525.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 2:34 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 759, 1372, 1985, 2598?\n\"Answer: 613*p + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*c - 285 - 467 + 753 in the form h*c + f and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 174446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228*h**3 + 226*h**3 + 37 - 18 - 19.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/67 or -8076.5?\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1284.79999946974 + 1284.8. Round q to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5341 and 1962?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k - 3*k = 6446. Suppose -k + 1718 = 4*d. List the prime factors of d.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1407056749?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**17)**(-12)\/(o*o**(-16))**(-8) assuming o is positive.\nAnswer: o**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xnxn when four letters picked without replacement from {n: 3, x: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 270\/42*4529\/(-6470).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 40 and -273736442652.\nAnswer: -273736442612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/11?  (a) 0.1  (b) 16545  (c) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v. Let f(g) = 20. Let o(l) = f(l) - 3*h(l). Let c be o(-6). Solve 3*z + 12 = -5*a - 1, 4*a - c*z + 28 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/((x**(-2)*x)\/x))\/(x*x**(-5)))\/(((x**(-10)*x)\/x*x)\/(x*(x*x**(-6))\/x*x)) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -898387?\nAnswer: -4\/898387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3*(-8)\/36)\/((-8)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, x: 2, n: 1, b: 2, o: 1, t: 4}. What is prob of picking 2 o and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*w + 20*w + 16*w + 15*w = 0. Solve w = -2*x + 8*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 + 39*a - 5. Suppose -2*v = -3*v + 5*b - 40, -4*b + 96 = -4*v. What is the remainder when g(v) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5495 is divided by 1354.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7521 = -14*i + 39. Suppose 3*x + x = 5*s - i, 0 = 5*s - x - 540. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 1)\/(91\/(-3094) - 75\/(-1394)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7466*x - 32*x**2 - 3732*x - 3733*x)*(-x**2 + 3*x**2 + x**2).\nAnswer: -96*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 294085*t - 294085*t - 2*t**3 + 54.\nAnswer: -2*t**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 202 and 27508461?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -275323*u**2 + u**3 - 5*u**4 + 275327*u**2 + 23*u**4 + 2 to the form j*u**3 + r*u + l + s*u**4 + x*u**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5011 or 5010?\nAnswer: 5011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 4*v + 164, -2*v = -5*l + 256 - 58. Let f = -37 + l. Suppose k + f*x = -0*x + 3, 4*k - x - 51 = 0. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = j - 6*j. Suppose 0*q = q - 23. What is the remainder when q is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 2157380610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -1\/6*o**3 + 0*o - 1\/60*o**5 + 7\/24*o**4 - 3*o**2 + 2. Calculate l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p - 2. Suppose 18 = 5*g - 2*f, 5*g - 2*f - 3*f = 30. Suppose q + 1 = g*q. Let c be k(q). Sort c, 2, 3 in decreasing order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {f: 2, d: 1, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-10)*2\/(-1)*-5. Let a(h) = -2*h + 14. Let g be a(v). Suppose 3 = -g*n + 7. Solve -2*k - 2 = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 7:33 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15\/2?  (a) -286  (b) -3\/5  (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -22, -2\/11, 64 in descending order.\nAnswer: 64, -2\/11, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.11, -2, -5\/6, -3, -6 in decreasing order.\nAnswer: 0.11, -5\/6, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(6\/11)\/(d*d**10))\/(d\/(d*d**(-2)*d))**(14\/13) assuming d is positive.\nAnswer: d**(-1649\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (11*(-5994)\/407)\/((-3)\/(12\/8))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.4 + -6.279. Let q = h - 2.121. Which is the second biggest value?  (a) -1\/17  (b) -2\/3  (c) q  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/5)\/(l*l*(l*l**(-12)*l)\/l))**(-2\/41) assuming l is positive.\nAnswer: l**(-94\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 743108497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 27*t**2 - 1 - 63*t**2 + 1 - 15*t. Let g(k) = 5*k**2 + 2*k. Let b(v) = 2*a(v) + 15*g(v). Let l(h) = 6*h**2. Give b(l(j)).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -r - 7, 0 = 45*r - 47*r + 4*j - 8. Solve -r = -2*p + 3*i - 5, p = 3*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.05, 3, 763, 44?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0259383 to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from {x: 1, k: 6, a: 2, r: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 - -600. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 5) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58 + -58. Solve k = 8*l - 4*l + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 a, 1 c, and 1 h when four letters picked without replacement from {q: 1, s: 5, a: 1, h: 2, c: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79637123.\nAnswer: 167, 476869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 37, 23, -4, -13 in descending order.\nAnswer: 37, 23, 0.2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 62 = 5*i + 9, -2*b = -4*i + 112. Let n = b + 211. Calculate the remainder when n is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 + 9*i + 25. Suppose 5*r - 22 = -72. What is the tens digit of c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*g - 10*g. What is the nearest to g in -5, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 3, 6 in decreasing order.\nAnswer: 6, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-13760)\/(-15))\/(5\/15). What is the tens digit of (-10)\/(-180)*12 - v\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -12*l + 36. Let s(i) = -3*i + 8. Let u(n) = -9*s(n) + 2*w(n). Let h(g) = -12*g. Let o(c) = -11*c. Let k(f) = -3*h(f) + 2*o(f). Calculate u(k(z)).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4404696 and 192672?\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 47*c - 533. Determine b(26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 197611154 and -0.2?\nAnswer: -39522230.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21 - -23. Let s be 1*b*21\/14. Suppose -s*t + 150 = 2*t. What is the highest common divisor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 264*u - 129*u - 135*u - 1519*u**2.\nAnswer: -1519*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13329 is divided by 13241.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 - -7. Let o = 21 - v. Suppose 24 = 2*z + 14. Solve r = -2*l - 1, -9 = -z*r - 3*l - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -75*u + 2103. What is i(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1160 - 1158. Solve 2*h = -4*z, -4*z - 3*h = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (28\/21)\/(8\/30). What is the hundreds digit of (-2)\/w - (11940\/25)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) 1\/5  (c) 1  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 328003718 minus 0.4?\nAnswer: 328003717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 115948, 463726, 1043362, 1854862, 2898232, 4173478, 5680606?\n\"Answer: v**3 + 115923*v**2 + 2*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 78, -4, 59, 4 in ascending order.\nAnswer: -4, 4, 59, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 133, 254, 379, 508, 641, 778?\n\"Answer: 2*p**2 + 115*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40\/33 - 6\/11. Find h such that 0*h**2 - 1\/3*h**4 + 2\/3*h + 1\/3 - x*h**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 8*z - 6*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -1c71?\nAnswer: 1c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1406 - 1434.45. Let r = n - 0.55. Let q = r + 28.99957. Round q to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -29237.49546 to zero decimal places.\nAnswer: -29237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 43 + -16. What is the remainder when r is divided by 14 - 0 - 0\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1548 = 9*m - 1575. Solve -4*u = 3*n - 0*n + 13, -3*u = m*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 267 - 117. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 + 3*c**2 - 4*c**2)*(-5*c**2 + 2*c**2 + 2*c**2) + 6*c**4 - 2*c**4 - 2*c**4 + (0 + 1 - 3)*(-c**4 + 0*c**2 + 0*c**2).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.56 - -1.74. Let q = l - 7. What is the third smallest value in 3, q, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2110.9 + 3221.1. Is 0.1 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -38, -35, -32, -29?\n\"Answer: 3*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -158\/3 - -53. Let h(d) be the second derivative of -j*d**4 - 1\/2*d**2 - 2*d + 0 + 5\/6*d**3 - 1\/20*d**5. What is h(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (3 + 5 - -13) - (6 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 121\/28 - 32\/7. Let r = -1 - 0. Let j = r - -2. Put 2, j, v in increasing order.\nAnswer: v, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 227.1*-0.1\nAnswer: -22.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 + -29. What is the least common multiple of (-86)\/(-5) + h\/(-10) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 5*j**2 - 5*j - 1. Determine m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 191441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -79 - (-218 + -61 + 152)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -362*k**2. Let v(t) be the third derivative of -t**5\/12 + 6*t**2 - 2*t + 323. Determine v(u(f)).\nAnswer: -655220*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 133612*h**4 + 9*h**3 - 44*h - 1175005304?\nAnswer: 534448*h**3 + 27*h**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 3*r + 13. Determine b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.33078ml to litres.\nAnswer: 0.00333078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 133 + -79. Let l = d + -52. Let j(w) = -3*w**3 + 2*w**3 - w**2 - 1 + 2*w**2 - 2*w**l. Let y(h) = 2*h**3 + 5*h**2 + 6. Give -4*j(s) - y(s).\nAnswer: 2*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 204847078.7 to the nearest 100000.\nAnswer: 204800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/16?  (a) 2\/13  (b) 3\/4  (c) 12\/5  (d) -4  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 117894 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 1. Let q(g) = -g**3 - 2*g**2 + 1. Suppose 9*r - 2*r = 4*r - 3. Determine r*z(v) - q(v).\nAnswer: v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do -179 and -736 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2*a**3\/9 + 104*a**2 - 11186*a\/3 + 290156\/9 = 0.\nAnswer: -502, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 75*w - 157*w + 3 = -80*w - 75, 4*g = 5*w - 297 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of 0 + 1\/140*s**6 + 1\/735*s**7 + 0*s + 1\/84*s**4 - 2*s**2 + 0*s**3 + 1\/70*s**5. Suppose c(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61767 * 0.2\nAnswer: 12353.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3*r + 0*r - 5*r)*(31*r - 253 + 253) in the form u*r**2 + m*r + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/7)*b)**44\/(b\/(b*b\/(b*b*b*b*(b*b**(3\/2))\/b)*b)*b**0\/b)*((b\/(b**(-2\/7)\/b))\/b*b)**32*b**(2\/13)\/((b*b**3)\/b) assuming b is positive.\nAnswer: b**(22635\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 262445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/4 and 71\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 3)*(4 - 2 - 4)*(1 - 2 + 2)*(5*s - 4*s + 4*s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f + f + 2*f + (23*f - 26*f + 16*f)*(8 - 1 - 3) + 2 - 2 + 2*f + f + 2 - 2.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 647*f - 9387 - 6353 = -2153 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 2071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**0*d)\/d)**44*d**(2\/23)\/d**(3\/4) assuming d is positive.\nAnswer: d**(3987\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93176890?\nAnswer: 2, 5, 61, 103, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -687b78a - 1?\nAnswer: -687b78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 3. Let v be 44\/(-15)*(-9)\/6. Let s = v - 23\/5. What is the biggest value in 5, h, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 26*h + 2535. Let m(l) = 34*l + 3383. Calculate 10*m(n) - 13*p(n).\nAnswer: 2*n + 875","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 504 = 5*s - 5*m, 5*s + 5*m - 510 = 0. Let g = s - -1. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 - 13*c - 23. Let v be t(16). Let o = v - 17. Suppose f - 80 = -f - 2*x, -o = -4*x. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*l**4 - 2*l**3 + 3*l**4 + 6*l**4 + 13*l**2 + 109*l**2 wrt l.\nAnswer: 72*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 124 - 26488c?\nAnswer: -264768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 2*i = 34 + 6, -5*j + 24 = 4*i. Does 4 divide 4\/j*38*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 346.3*0.4.\nAnswer: 138.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1374685979?\nAnswer: 31, 4391, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sbsssdbsssdbsbdsssss. Give prob of picking 1 d and 1 b.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 1100020101121021?\nAnswer: 1100020101121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 18397350 divided by 50?\nAnswer: 367947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010200101 + -22201?\nAnswer: -1011000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 255\/1428*-14*(-2)\/3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from fccffcfffcfccfcccf.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3308 divided by -4.\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 693 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3419\/18 + -569\/3. Suppose -2*c = -0*c - 308. Calculate the common denominator of l and ((-18)\/(-12))\/(48\/c).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 8  (b) 2\/3  (c) -266  (d) 4.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*m**2 + 2*m**2 + 0*m**2)*(-3 + 3 + m**2) - 10*m**3 - 69 - 2*m**4 + 69 to the form t*m**2 + c*m + s*m**3 + v + u*m**4 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 1462*m - 86. Let v(s) = 973*s - 54. Calculate -5*i(y) + 8*v(y).\nAnswer: 474*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 619344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -192337 less than -192333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 3)*(-2*d - 1 + 1 + d - 2*d - d + (-3 + 3 + d)*(-5 - 1 + 5) - 3*d + 2*d + 0*d + 2*d - 3*d - d).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 8, g: 2, j: 2, e: 4}. Give prob of sequence guu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -300*k - 1285. Let d(s) = 106*s + 428. What is -17*d(p) - 6*y(p)?\nAnswer: -2*p + 434","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 540 and 8970?\nAnswer: 161460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**5\/3 - 7018*a**4\/3 + 453644*a**3 - 61615208*a**2\/3 - 640147568*a\/3 - 495282880 = 0. What is a?\nAnswer: -5, -4, 106, 3306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -3, -20, 0.732, 0.5, 15.3 in increasing order.\nAnswer: -20, -3, 0.3, 0.5, 0.732, 15.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/947 or -1?\nAnswer: -1\/947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 2*g = 3 + 6, -5*m + 21 = g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -179 + 183. What is x in 6*x**4 + 28*x**3 + 2*x**2 - 8*x**z + 26*x**3 - 22*x**3 - 16*x - 16*x = 0?\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 253312986.\nAnswer: 1266564930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 - 36*a - 35.\nAnswer: -(a + 1)*(a + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 12*a - 15*a + 34, 3*a - l = 14. What is the remainder when 71 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c + 9. What is s(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3*u - 2*z + 23 = 0, 56 = -4*u - 4*z. Let h = u + 17. Is h + 0 - (-122 - 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 61097 and 66?\nAnswer: 4032402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0693 and -7.489655221.\nAnswer: -7.420355221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*f - 344*f - 23387 = 23311 - 11598 for f.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1299214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 127*u - 127. What is the remainder when 268 is divided by b(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 6 = 0, 2*g + 2*a - 3 = a. Suppose 4*u = m + 4*m - 25, -3*u - 20 = -5*m. Is 97 - g\/(0 + m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h**2*u*y**3 + 2*h*u*y - 7*h*y**3 - u*y**3 + u*y**2 + 25*u*y wrt h.\nAnswer: 2*h*u*y**3 + 2*u*y - 7*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33.50545 micrograms to nanograms.\nAnswer: 33505.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/(-27)*(230 - -1). List the prime factors of ((-18)\/(-14))\/((-11)\/i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -4*w**2 + w**2 + 18 - 20 + 11*w**2. Let t = -1 - 1. Is y(t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*u**4 - 2 - 4*u**4 - 6*u**4 wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 180 + -336. Let m = 186.5 + w. What is m rounded to 0 decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 284162?\nAnswer: -568324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(125) - (sqrt(125) + sqrt(125) + 1)) + 1)*-4 + 5)**2*-2.\nAnswer: -4050 - 400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7067 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 204*h**2 - 262*h**2 + 18 - 77 as d*h**2 + t*h + v and give v.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 14 = 3*z, 4*z - 13 = 3. Let w be ((-12)\/o)\/(15\/10). Solve -w*l - 4 = -2*f, 0 = 4*l - 0*l + 4*f - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 0*a + a - 4*a + 2. Let t be l(2). Let s(r) = -r**2 - 5*r - 1. Let k be s(t). Solve -k = -2*h + h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 7:50 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -7*y. Let p(t) be the first derivative of t**3 + 10. Give p(w(o)).\nAnswer: 147*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -908?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + -31 + (-2 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, u: 1, a: 1, r: 2}. What is prob of sequence pur?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(539) + 1 + sqrt(539) + 6*(-2*sqrt(539) + sqrt(539)) + 4.\nAnswer: -28*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-5))\/((-5)\/(-45)*-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22.45 + 0.55. Let t = 23.0000008 - f. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-2)*(-9)\/(-9)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 - -12. Let p(j) be the third derivative of j**6\/120 + j**5\/10 + j**4\/8 - 5*j**3\/6 + 561*j**2. Give p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -4*t + 20, -113*g = 4*t - 116*g - 6. What is the nearest to 8 in -0.5, t, 2\/5, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1053297000 to the nearest one million.\nAnswer: 1053000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/10 + (27\/(-6) - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 110*l**2 - 113*l - 823. What is t(111)?\nAnswer: -1045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 + 6*g - 2. Suppose 0 = -4*k - 178 + 158. Give i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 6*u + u)*(-216 + 103 - u + 108).\nAnswer: 4*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -93 + 78.1. Round z to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 + 1)*(-256*y + 955*y - 2202*y) in the form l*y + j and give l.\nAnswer: -4509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-95)\/(-76) + (-505)\/180\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5448630\/65175*20\/22?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-1\/3)*o*o*o)\/o**5)**49\/((o**1)**(1\/13))**(-4\/21) assuming o is positive.\nAnswer: o**(-5944\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -356.3451 + 354.79. Let r = 0.0349 - b. Round r to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (33*((-81)\/(-6) - 6))\/(3\/18) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10130 (base 8) to base 16\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {v: 4, r: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.648363 nanometers to kilometers.\nAnswer: 0.000000000009648363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 16*p**2 + 3*p - 6. Suppose 4*o = -o + 4*k + 31, -3*o + 21 = -3*k. What is the remainder when c(o) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1259780 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -28387 * -85.2\nAnswer: 2418572.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/(-8))\/(16\/1)*-1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 2*a, v + 5*a - 5 = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7154780570.\nAnswer: 2, 5, 7, 14601593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -767280*n**3*u**2 + 84*n**2*u**2 - 133*u wrt n.\nAnswer: -4603680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -67686, -135315, -202944?\n\"Answer: -67629*l - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 197905, 196840, 195775, 194710, 193645?\n\"Answer: -1065*z + 198970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2 + 11*x + 11. Give q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 103 - 59. Let r = z + -14. Suppose 5*c - 3*c = -4*v + 18, 4*c = -5*v + r. Solve 2*w + 5*f - 31 = 0, f = c*w - f - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20934653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56260 and 14655730.\nAnswer: 29311460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4095.171 micrometers to centimeters.\nAnswer: 0.4095171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1127 a factor of 142483106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 + 3)*2*(-47)\/(-94)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 3*a - 6*a - 19, -5*j = -3*a - 1 - 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - d = o + 28, 0 = 5*d - 4*o - 42. Suppose 0 = 4*c - d*c + 30. Let y(t) = 71*t - 411. Let j be y(6). What is the greatest common divisor of j and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7\/(-14))\/(1\/(-12))*1. Let g(p) = -f*p**2 + 509*p - 509*p. Let i(a) be the second derivative of 2*a**3\/3 - a. What is g(i(h))?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12, 131, 250, 369, 488, 607?\n\"Answer: 119*d - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-12) + 40\/30)*-4. Which is the fourth biggest value?  (a) 1\/9  (b) 16  (c) 2\/3  (d) -5  (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -11  (b) 3  (c) 1\/2  (d) 1  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6281.0087 plus 10460164?\nAnswer: 10466445.0087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -75, -124, -151, -156, -139, -100?\n\"Answer: 11*s**2 - 82*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 24*d**3 + 7*d**2 + 17*d + 14. Let n(r) = 24*r**3 + 6*r**2 + 15*r + 12. Determine -7*n(o) + 6*y(o).\nAnswer: -24*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of 4*t**2 - 1\/6*t**4 + 0*t**3 + 0*t + 0*t**5 + 0*t**6 + 0 + 1\/70*t**7. What is the second derivative of l(y) wrt y?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -2)*(-1)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30*14\/(-140))\/((-372)\/310*(-5)\/82).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 432434 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of 0 + 1\/6*o**3 + 10*o**2 + 1\/120*o**6 + 0*o + 0*o**5 + 0*o**4. Differentiate p(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -3, -69.\nAnswer: -69, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12928 - 1215 + 1765 + 2*g - 3*g - 6240.\nAnswer: -g - 18618","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68115.31 centuries to months.\nAnswer: 81738372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2552 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -2*w + j + 8, 0 = -3*w + j + 22. Suppose -w*f + 4*f + 12 = 0. Solve z - 6 = -f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5*c**2 + 3*c - 4. Let d be r(-3). Let t = d + -12. Suppose 5*y = 5*l - t, -3*y = -2*l - 6 + 13. Solve l*m - 14 = 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 13091*g + 248699. Calculate b(-19).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13077155*l**5*r - 10*l**4*r + 2*l*r - 331595579*l wrt l.\nAnswer: 261543100*l**3*r - 120*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + 5*t**2 + 8*t. Calculate v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-24)\/(-30)*(-15)\/(-2). Solve 2*h = -h - p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 + 0)\/(1\/(-13)). Let r be 24\/60 - (-214)\/(-10) - -2. Let l = v - r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 788195, 3152921, 7094129, 12611813, 19705967, 28376585, 38623661?\n\"Answer: -g**3 + 788247*g**2 - 8*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 18*j**2 + 19*j + 7. Let w be m(-16). Let q = w - 378. Round q to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ioy. Give prob of picking 1 o and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 5*v = 18. Suppose -4*h - m = -136, -v*h - 2*m - 8 = -105. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7180 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33 + -18. Let x = -7 + z. Let y be 2\/16 - 497\/(-56). Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c**4 + c**4 + 3*c**4 + (-2*c + 4 - 4)*(329 - 329 - 6*c**3))*(2 + 0 - 5) as l*c**4 + o*c**3 + t*c + f + a*c**2 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(5\/3)*y*y**(-3\/17)*(y**18\/y)**(-38) assuming y is positive.\nAnswer: y**(-32938\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1498\/(-126) + 5 - 28\/(-4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (0 - 1\/(-4)). Which is the smallest value?  (a) o  (b) -0.5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9723 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuzd when four letters picked without replacement from uudzzuuzuuuuunu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-18)\/14 + 4\/14. Suppose 20 = -6*h + 26*h. Put h, 4, u in increasing order.\nAnswer: u, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 20) + -1027 + 996?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-3))\/(((-2653)\/(-3790))\/(84\/2)) + -13.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 672*d. Let r(c) = c**2. Give q(r(z)).\nAnswer: 672*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 64*j**2 - 1048*j + 1048*j to d*j + q*j**2 + t and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -18, -32, -52, -78, -110, -148?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 2:59 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**5\/60 + 3*w**4\/8 + 3*w**3\/2 - 2*w**2. Let i be s(-8). Which is the third biggest value?  (a) i  (b) -1\/4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w**2 + 2*w**2 + 908*w**3 - 1048*w**3 + 462*w**3.\nAnswer: 322*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 11 + ((-22 - -3) + 0 - -4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11952\/5312*((-6)\/(-9) - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yvyyyyyyyvyvvyyyvyy.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l + 5*c + 35 = 8*l, 3*l = -4*c - 26. Put 131, 1, l in ascending order.\nAnswer: l, 1, 131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 57*d**2 + 242*d + 19. What is the thousands digit of s(59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**4 + n**3 - n - 1. Let l(a) = -7*a**4 + 92*a**2 + 4*a + 5. Let r(i) = l(i) + 5*y(i). Find the third derivative of r(x) wrt x.\nAnswer: -48*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 61 = -2*y, -2*k + 28 + 69 = -y. Suppose -4*c = -3*x - 226, c + 55*x = k*x + 47. What is the greatest common factor of c and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -155 - 552420541?\nAnswer: -552421140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2 - 76*t - 288.\nAnswer: -(t + 4)*(t + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1846638860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 6*k**3 - 2*k + 1. Let l be p(1). Suppose -s = 4*a - 60, -l*s - 36 = -4*a - 0*s. What is the remainder when 40 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -352 - 2*l - 4*l + 5*l + 0*l in the form f + n*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 134 - z**2 + 143 - 277. Give n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1520 = -601*t + 449*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -5. Is y less than or equal to 4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*f + 293 - 293.\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 19606.311 nanoseconds in minutes?\nAnswer: 0.00000032677185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.033 - -0.005. Let r = 0.08 + a. Round r to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**4 + 0*q + 0*q - 2*q**4 - q**4 + 4*q**4 + (3 - 2*q**4 - 3)*(-1 + 4 - 1) - 4*q**4 + 42*q**4 - 24*q**4.\nAnswer: 13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23.745 + -24. Let x = c - -0.496. Round x to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2642468*i**4 + 988983 wrt i?\nAnswer: 10569872*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 867\/13 + -25797\/364. What is the common denominator of -33\/52 and p?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + 2c?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 440297294 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16.4 and -417384?\nAnswer: -6845097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 13\/5, -1, 0.3, -181, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 4, 1, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 208a - 3?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2391*q + 1176*q = -1184*q - 186 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 326 and 2731391.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/1938 and 95\/22.\nAnswer: 21318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(66) - sqrt(66)*2) - sqrt(66))\/((sqrt(6) - sqrt(24))*3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41dbb (base 14) to base 2.\nAnswer: 100110110110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/19 and 0.36138 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 2 d, and 1 q when four letters picked without replacement from {y: 1, d: 2, c: 1, q: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14.72 - 0.28. Let m = 15.00000061 + j. Round m to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 81340330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 11305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110259011 to the power of 1\/2, to the nearest integer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 15 - 29) + 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 948961 is divided by 4144?\nAnswer: 4129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 18*m**2 + 979*m + 1564. Let y(j) = -8*j**2 - 490*j - 783. Let q(i) = -3*v(i) - 7*y(i). What is the first derivative of q(w) wrt w?\nAnswer: 4*w + 493","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -1, 0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 1. Let f(s) = 7*s**3 + 17*s - 7. Give f(b) + 6*n(b).\nAnswer: b**3 + 17*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/23 or 2\/5?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/373510 and 101\/26856280.\nAnswer: 1101107480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 9415260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -5*d + 28. What is f(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 24 + -20 + -11 + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10267*c*r**4 - 14065*c*r**2 - 2*r**4 wrt r.\nAnswer: 246408*c*r - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 greater than or equal to -83\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 40850 + 1670*u**2 - 40850 + u - 691*u**2 + 1099*u**2 in the form c*u + i*u**2 + g and give i.\nAnswer: 2078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4463520739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*t = -0*t - 18, 2*t = -4*i + 32. Let l(o) = o**3 - 3*o**2 + 5*o - 4. Let s be l(i). Suppose -s = -4*n - 2*q, -n + 33 = q - 1. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, e: 3, n: 3, u: 1, d: 3}. Give prob of sequence unm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 26*v - 1581 = 0. Suppose n + 5*o - 15 = 0, -4*n + 24 = -o + 3*o. Suppose -v = -n*s + 77. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -61 + 49 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 + 35*n**2 + n + 41. Let c be l(-35). Let m(a) be the second derivative of -a**3\/6 + 7*a**2\/2 + a + 72. What is m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -350*p = -343*p + 42 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*w**2 + 5*w**3 + 16*w**3 + 10*w**3 - 51*w**3 - 2*w + 5*w**3 + 9*w**3.\nAnswer: -6*w**3 + 89*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -56, -54, -52, -50, -48?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b + 1. Let d(t) = -2*t + 7. Let g(n) = -d(n) + r(n). Let w = -2 - -11. Suppose -5*l + w = -2*l. Give g(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -3, 7\/6, -17, 50\/3?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9)*5)\/sqrt(3) + sqrt(147)*-2 + sqrt(147) + ((sqrt(1296) - 1*sqrt(1296)) + sqrt(9) + sqrt(9))\/(2*sqrt(432)).\nAnswer: -23*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1055543845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 1\/6, -1, 21, -34, -17.\nAnswer: -34, -17, -1, 1\/6, 21, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -5. Suppose g*h = w + 4 + 18, 3*h = 3*w + 6. Solve 0 = l + r - w, 5*l + r + 3*r - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w\/(w\/w**(-6)*w))*w)\/w*w*w**6)\/(w**6\/(w*w*w*w\/(w*w**(1\/5)))))\/((w\/((w\/w**(-3\/10))\/w))\/(w*w**(-6)\/w)*(w*w**(2\/3))**(-35)) assuming w is positive.\nAnswer: w**(1903\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 457.99999554 - 458. What is q rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + 2*v + 6. Let h(m) = 2*m**2 - 4*m - 11. Calculate -2*h(b) - 5*x(b).\nAnswer: b**2 - 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 803\/(-165) + (-2)\/15 - -6. Let y = 8.05 + -8. Let d = -0.05 - y. What is the closest to s in -1\/6, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 4*m + 68. Calculate o(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -166 (base 14) to base 8.\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-6 + 966\/207).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 397370177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u = 10*u + 90 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2644*f = 2646*f + 4*j + 12, 2*f + 6*j + 18 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -16900, -16900, -16902, -16906, -16912, -16920, -16930?\n\"Answer: -z**2 + 3*z - 16902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3103 - 3158. Let l(z) = -z**2 + 10*z - 4. Let p be l(10). What is the biggest value in 4\/9, p, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -387347, -387348, -387349, -387350, -387351?\nAnswer: -387352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q*q**(-1)\/q*q*q)\/q*q)\/((q*q**(-1\/5))\/q))\/(q\/(q**(-1\/5)*q)*(q*q**(-6))\/q))\/((q**(2\/9)\/q)**(-15))**(8\/13) assuming q is positive.\nAnswer: q**(-7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -73 - -31. Let d = -40 - i. What is the first derivative of 21 + 57*f**2 - 13*f**2 - 18*f**d - 15*f**2 wrt f?\nAnswer: 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.532, -9, -0.5, -3, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = 5*m - 11*y - 5305, -14*m = -4*y - 14884. What are the prime factors of m?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 926 is divided by 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 840.14 - -482.6. Round o to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2\/1089 + 97\/1089. What is the nearest to 2\/13 in -4\/9, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1005423 - -1000?\nAnswer: 1010423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53 + 73. Let s = -16 + x. Does 4 divide (1 - 0) + (7 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1101 + 1101. Put 1\/6, 11, 4, q in ascending order.\nAnswer: q, 1\/6, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2500)\/10)\/(2\/(-176000)). Round d to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 179*w + 20*w**3 - 669*w**3 - 817*w wrt w?\nAnswer: -3894*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -643 - -647. Let r(f) be the second derivative of f**5\/20 - f**4\/3 + f**3\/6 - 5*f**2\/2 - 3*f. What is r(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -117 - -61. Let y = 57 + r. Is 2\/7 - (y + (-33030)\/35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 369 or -1?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8336280 and 222504.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u + 2. Give t(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 112 - 83. Let w(q) = -b - q**2 + 14*q + 5*q + 6*q. Let m be w(24). Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 78 + -171. Suppose 0 = b + l - 9, -16 = 3*l - 4. What is the remainder when 0 - (-6)\/8 - v\/4 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (6\/4 + -1)*41*34 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-13082)\/(-1) - (68 + -63). Let q(w) = 2 - n*w + 21*w**2 + 13077*w. Let p(u) = 5*u**2. What is p(q(i))?\nAnswer: 2205*i**4 + 420*i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 23, -45, 0, -26 in descending order.\nAnswer: 23, 13, 0, -26, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2317?  (a) 0.5  (b) -2\/11  (c) 3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 11  (b) 3\/8  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 732 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -31233011303 (base 4) to base 13\nAnswer: -990c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + (6 - 9) - -4) + -65 + -4 + 3.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, h: 9}. What is prob of picking 2 h?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46 - 47. Let j be 1 + -2 - (-6)\/9. Which is the third smallest value?  (a) v  (b) -2\/9  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -5, 3, -1, -4164 in increasing order.\nAnswer: -4164, -5, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3*o**3 + o**2 - 1. Let g be b(1). Suppose -g*c - x + 74 = 0, 0 = -c + 3*x - x + 27. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 253 - 210. Let g = i - -167. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)*-3 + -3)**2 - sqrt(18)\/(-6*sqrt(72)\/sqrt(8)).\nAnswer: 433*sqrt(2)\/6 + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2915 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58 (base 13) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 6*t + 2. Let v be o(-7). Let z = 3 + -3.9. Let p = z - -0.4. Which is the third biggest value?  (a) 5  (b) p  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24332 and 1142372.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 5:48 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 128, 232, 324, 398, 448, 468, 452?\n\"Answer: -f**3 + 111*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minus -0.071?\nAnswer: 20.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**2)\/t**(2\/17)*(t**(2\/13)\/t)**(4\/9))**(-2))**(11\/6) assuming t is positive.\nAnswer: t**(-54835\/5967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/138 and ((-81)\/40 + 2)*2140\/10?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5370289901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kakkakaoaaokfkklalaa. What is prob of picking 1 l and 2 o?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 34\/85*(-5)\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1346115608 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -4, -1, -9 in decreasing order.\nAnswer: 12, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 37*z**2 + 41*z - 212. What is the tens digit of i(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = p + 9, 2*j + 0*p + p - 9 = 0. Suppose 101 = -3*s + j*s - 4*c, c - 141 = -4*s. Calculate the highest common divisor of s and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1356 - 1420 - 1982)*(4 - 4 + 1)*(-2*k + 5*k - 4*k).\nAnswer: 2046*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8\/730023 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 261331445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5633.507 centimeters to nanometers.\nAnswer: 56335070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.071 and -33955567.\nAnswer: -33955567.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 7*z**2 - 4*z - 3. Let g be (-12 - (-6 + -1))*(-4)\/5. Calculate l(g).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s + 398*s = 495 + 3883 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**3 + h**3 + 4*h**3 + 2*h**4 + 2 - 4*h**4 to the form y*h + v*h**2 + d*h**4 + g + o*h**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 16934\/20 + 0 - -2. Let t = -848 + l. Let f = 6191\/6 - 1047. Find the common denominator of f and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kjmkl. What is prob of sequence mk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**3 - 8*u**2 - 4*u - 17. Determine f(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.14052253 + -193.14153253. Let g = 0.123 + -193.123. Let b = g - m. What is b rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -544*z**2. Let d(u) = 1746*u. Give d(b(x)).\nAnswer: -949824*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010110011000 - 1010?\nAnswer: -100010110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0745112 and -50?\nAnswer: 3.72556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18333, -18335, -18337?\nAnswer: -18339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 18\/726491?\nAnswer: 18\/726491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -r**5\/40 + r**3\/4 + 22*r**2. Find f, given that b(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - g - 1. Suppose 0 = 32*h - 31*h - 38. Let r(x) = -x**3 - 7*x**2 - x - 10. Let u be r(-6). Let s = h + u. What is f(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/10)\/(576\/1280)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 2)\/((-2)\/6). Let l = -5 + 3. Let t = -6 - l. Sort 2, d, t in ascending order.\nAnswer: t, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 382517007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.44 + -0.0229740072?\nAnswer: 3.4170259928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of 3*v**5\/5 - 227*v**4\/2 - v**2 + 3592*v - 1743. What is the second derivative of j(h) wrt h?\nAnswer: 36*h**2 - 2724*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -930.597 + 0.597. Let f = 929.9926 + g. What is f rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -a**6\/18 - 7*a**5\/15 - 3*a**4\/2 - 22*a**3\/9 - 13*a**2\/6 - a + 12. Let f(o) = 0. Calculate o.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20112211 + 11211201002?\nAnswer: 12002020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38771 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49869 + 100131 = 75*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26 - -32. Let n be g\/4 - (-9)\/6. Suppose n*z = -2*z + 15. Solve z*a + 0 = 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 - 20*r**2 + 73*r + 8. Let l be -1 + -1 + (-13 - 9). Let u be a(l). What is the highest common factor of 35 and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17.3905176 - -189\nAnswer: 171.6094824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -1 - 5) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1985640 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(1331)*-2)**2) + (-1*sqrt(891) + sqrt(891))**2.\nAnswer: -5324 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*u**2*w - 2*u**2 + 2*u*w + 488*w wrt u.\nAnswer: 6*u*w - 4*u + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081558927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**5\/21 + 24*s**4\/7 + 818*s**3\/21 - 5216*s**2\/21 + 424*s - 4576\/21 = 0.\nAnswer: -13, 1, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c**5 - 668*c**4 - 30108*c**3 - 204388*c**2 - 174944*c = 0. Calculate c.\nAnswer: -88, -71, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4810 + 6629.107?\nAnswer: 1819.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**3 + 504*w - 650*w + 146*w - 10*w**2.\nAnswer: -w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 245 and 809760?\nAnswer: 5668320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5*u = -40. Calculate the lowest common multiple of (-2 + 39\/(-12) + 3)*-8 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.183641 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1458966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/14 + (-620)\/(-28) + 2. Let w = j - 6. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 0*s**2 + 7 + 4*s**2 - 20. Let z = -465 + 796. Let b(l) = -l + z - 334 + l**2 + l. Determine -18*b(d) + 4*k(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 10:17 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315949351 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 467 + -460. Let x be l + (2 - 2) + -12 + 17. Solve -2*q + 4 = x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2)*y**(-2\/11)*(y**(2\/3)\/y)**(-2\/107) assuming y is positive.\nAnswer: y**(-7682\/3531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 219417 and 17985.\nAnswer: 1097085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + r + 1. Let s(m) be the first derivative of -3*m**4\/4 + 5*m**3 + 15*m**2\/2 + 15*m + 4. What is -s(k) + 15*z(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/11 + 12*j\/11 + 18\/11.\nAnswer: 2*(j + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000235486 rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 803 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -662*j**2 + 2*j + 22 + 33 - 53 + 6 in the form s*j + n*j**2 + f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((6 - 6) + 2 + -5) - 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -13, 46.\nAnswer: -13, 6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66 - 41 + 68 - 953*b - 93 to i*b + v and give i.\nAnswer: -953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6.61491 and -0.9334.\nAnswer: -7.54831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -46*l**2*t**2 + 26466*l**2*t - 6*l*t**2 + 2*t**2 wrt t?\nAnswer: -92*l**2 - 12*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 56\/27 and -3 + (1506\/225 - 4).\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 4*x = y + 1, -2*y + x + 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3325 (base 6) to base 3\nAnswer: 1001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, 2, 3 in increasing order.\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4202499ml to litres.\nAnswer: 0.0004202499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 16*j + 21. Let n(h) = -2*h**2 - 35*h + 44. Let m(l) = 11*a(l) - 5*n(l). Determine m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14.3 and -0.07.\nAnswer: -1.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/27 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -16, -1, -1\/2, 2\/3, -9.\nAnswer: -16, -9, -1, -1\/2, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**(-2)*b)*b*b\/b**(1\/2)*b)**10\/((b**(2\/7))**(-8))**9 assuming b is positive.\nAnswer: b**(459\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 76\/73 + -28351\/27302. What is the second biggest value in 5, a, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 535 and 1712.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 14 = 5*n + 1, -12 = -2*p + 4*n. Let v = 2.2 + -2.7. Let k = v + 4.5. Which is the smallest value?  (a) k  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 642 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 6*i + 243. Let z(g) = g. What is -f(l) + 4*z(l)?\nAnswer: -2*l - 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 4*v - 56, -3*d - 5*v - 205 = -8*d. Suppose -3*i - 36 = -3*x, -x - 3*i = x - d. Solve 7*u - 3*u + x = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26150*o**4 + 9493*o**3 + 744410404*o**2?\nAnswer: 627600*o + 56958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 71 - 43. Suppose 5*f - 3*f - d = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 12*h + 12. Let b = 2335 + -2330. Calculate n(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 199*x + 116896 = 303*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29056 - 29052. Solve 3*s + u*r = 31 - 36, -2*s - 5*r - 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -25*q**3 + q**2 + 5*q - 6. Let i be d(-2). Suppose 0 = -54*r + 50*r + i. Calculate the remainder when 139 is divided by r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1827 at most 1864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (4470\/(-2384))\/((-3)\/2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24176*l + 3 + 24122*l - 3.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 307  (b) -43  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 - 117132*z. Let u(b) = 7*b. Determine u(q(x)).\nAnswer: 7*x**2 - 819924*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 7342 = 3*s - 7405, 3*s - 369 = -21*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-3)\/4*(-104)\/(-234)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, 97, 135, 173?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 6) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -2*c**5\/7 - 960*c**4\/7 - 24802*c**3\/7 + 231188*c**2\/7 + 300816*c\/7 - 72320 = 0.\nAnswer: -452, -35, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-810)\/198 - (13\/(-3) + (-3)\/(-9)). What is the fourth smallest value in l, -0.03, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 32*u**5\/19 + 12560*u**4\/19 - 134814*u**3\/19 + 240894*u**2\/19 + 609984*u\/19 + 261144\/19 = 0.\nAnswer: -403, -3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 11*j + 40. Let v be t(-4). Let l be v\/(-52) - 516\/(-52). Solve -4*q + 4*r + 10 = -l, -7 = 5*q + 3*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3273965, 6547928, 9821891?\n\"Answer: 3273963*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 44757*-14\nAnswer: -626598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*m - 98 - 62. Let u be 16\/(-6 + m) - 2. Solve b - 12 = -u*l, 0*l + 2*l - 4*b - 2 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 + -3 - (3 + -1)) + -11 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + 324\/(-63) + 12)*12\/10\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*s + 16*s + 5*s - 11 + 3*s to i*s + r and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 27*w + 243. Let o(f) = 6*f + 49. Let k(m) = -2*l(m) + 11*o(m). Give k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -50*x - 48. What is p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 5  (c) 25  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6257842864 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + 0. Suppose 26 = m*x - 34. Let y be x\/(-10)*15\/(-6). Solve -3*j = y + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i - 11. Let x(z) = -8*z - 1. Let l be x(-1). Let a be w(l). Let j(p) = 719*p**2 - 4. Let g be j(a). Round g to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 1. Suppose -2*f + 2 = -d + a*d, -4*d = 5*f - 7. Suppose 0*k = f*k - 291. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*k + 31*k = -11. Find the third derivative of 34*o**3 + 43*o**2 - k*o**2 - 3*o + 3*o wrt o.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = -3*n - 65. Let z = n - -1. Calculate the highest common divisor of 42 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207 - 1788 = -203*g + 652. Solve u - g = 4*x, 5*u = -0*u + 5*x - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 58, 199, 460, 877, 1486, 2323, 3424?\nAnswer: 4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, 393, -2, -1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.48858941 take away 124?\nAnswer: -114.51141059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*l + 22*l - 6*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + sqrt(567) + sqrt(567) + -2).\nAnswer: -8 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/5*25\/(-10). Suppose 3*h = -l*f - 45, 0 = -3*f + 2*h + 2*h - 38. Let m = 31 + f. Calculate the greatest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -163 (base 15) in base 12?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (38\/(-6))\/(3\/(-9)). List the prime factors of a\/4 + (-12)\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j = -32 - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -205 - -396. Let i = -155 + v. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/3)\/((-3)\/(-45)). Suppose 4*n + t = 23, -t = f*n + t - 25. Suppose 3*a = n*a - 32. Solve 0 = 4*h + 2*p - a, 3*h - 3*p = -6*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -12*w + 15*w + w**2 - 3 + w**2. Give x(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - s - 2. Let k be x(3). Suppose 9 = -5*y + 2*y. What are the prime factors of (-2)\/k*(-17 + y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iwgefgihf. Give prob of picking 1 w and 2 f.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 749906.206 to the nearest 1000.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -29*f**3 + 5*f**2 - 58*f - 1. Let l(r) = -29*r**3 + 4*r**2 - 59*r - 1. Let h(k) = 4*i(k) - 5*l(k). What is the second derivative of h(o) wrt o?\nAnswer: 174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.5 - 5. Let x = 0.6 + i. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 6) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/(-68)*85\/40*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 3*q - 5*b, 2 = 4*q - 2*q + 2*b. Suppose 6*m = 3*m + q. Let z be (7 + -5)*((-2 - -1) + m). Solve 0 = 4*o - 2*o - z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 + -35.74. Sort y, -0.3, -2\/11 in descending order.\nAnswer: y, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -15. Suppose -3*f - 2*s + 321 = m, 0*s - 3 = -s. Suppose -f = -5*h + 50. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -8. Suppose -3*p - 16 = -4*o, -7 - 9 = -u*o + 2*p. Let n be 2 + 2 + -1 + 1. What is the highest common divisor of o and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3409057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 911634.\nAnswer: 911634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/(2\/1))\/((-4)\/(-10)). Let p(n) = -3*n**3 + 5*n - 4. Let i(m) = m - 1. Determine o*i(g) - p(g).\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, l: 1, m: 2, u: 1}. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 620704?\nAnswer: 2, 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100111 - 11001000001?\nAnswer: -10111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30 + -14 - 14) + (-5 - -2) + 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 521 - 228. Calculate the remainder when h is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2397 = 9*q - 14*q + 102*q + 2647 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from teeett. What is prob of picking 2 t and 1 e?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 9.7, 10778?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16665924731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -104 - 91 - 86 + 203 + 198*q**6 + 175*q**6 + q**2 wrt q?\nAnswer: 44760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63008?\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132087.\nAnswer: 3, 44029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p**3\/5 - 138*p**2 + 18762*p\/5 + 62658\/5 = 0. Calculate p.\nAnswer: -3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -15516 (base 11) to base 6\nAnswer: -245250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2857630?\nAnswer: 2, 5, 285763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 + 27*y - 43. What are the prime factors of o(7)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 3*p + 2. Let o be 1 - (2 + (0 - 3)). Let x be o\/(-4) + (-11)\/(-2). Let s be ((-3)\/(-4))\/(x\/(-20)). Determine c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 - 2)*(2*a + a - 5*a)*(1 + 6 - 3 + 67).\nAnswer: 710*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5729 in 4, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 - -52. Let y be 10*((c\/(-2))\/(-7) + -2). Find the third derivative of -11*t**y - 14*t**2 + 462*t**3 - 462*t**3 wrt t.\nAnswer: -660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 454 = -442 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5622*-4\nAnswer: -22488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 + -18. Let j = 65 - t. What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 384017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 39\/2*(-84)\/(-9). Calculate the greatest common factor of s and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (53\/(22260\/(-40)))\/(2\/(-21))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 19 = -5*n + 4*u, 5*n + 4*u + 1 = 0. Let p = -11 + 14. Suppose -j - a = -2, 5*a = p*j - 9 + 3. Calculate the greatest common factor of n and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5 - 2\/(-1)) + 6. Suppose -1 - 14 = -i*d. Solve 1 = -4*q + d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus -207.341?\nAnswer: -211.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 62*s**2 - 1. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - ((-2 + 3 + -9 - -13) + -7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8135\/25 - (-4)\/((-120)\/(-18)). Suppose -4*m - 82 = -h. Calculate the highest common divisor of 122 and m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 8050*q**3 - 7*q**2 + 5*q + 12. Let n be b(-2). Let t be 13*(-2)\/(-117) - n\/(-18). Round t to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*n**3 + 3*n**3 + n**3 + 3*n - 3*n - 2*n**3 - 107*n**3 + 216*n**3 + 176*n**3 + (4 + 2 - 1)*(0*n**3 + 5*n**3 - 4*n**3).\nAnswer: 286*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -24*k**2 + 65. Let a(v) = -59*v**2 + 156. Let r(z) = 5*a(z) - 12*p(z). Let j(m) = 21*m - 6 + 6. Determine r(j(y)).\nAnswer: -3087*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = 9*a + 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of 6 - 3\/2*l**2 - 5*l + 28\/3*l**3. What are the prime factors of z(-2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -72\/1273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*t + 28 - 74 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -2, 2\/13, -214, 73, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4001 - -22041?\nAnswer: 31042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u*u**(-6)))\/u)\/u**(-4)*u**2\/(u*u*u*u**(-1\/10)))\/((u\/u**(6\/7))\/((((u\/(u*u*u*u**(-1\/3)*u))\/u)\/u*u)\/u))**40 assuming u is positive.\nAnswer: u**(-38699\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 32\/6 + (-4)\/(-6). Solve -7*l + r = -3*l + b, l - 5 = -2*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*i + 49*i - 73062. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (-151 - -136 - (2 - 4))) + -10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 2:37 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*y - 9*y**2 + 2*y**2 + 9*y**2 in the form m*y + s*y**2 + q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 + p + 6. Let z be v(0). Let w(l) = 3*l - 15. Let k be w(z). Find the second derivative of u**3 + u**k + 12*u + 4*u**3 wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9066\/4*(-5796)\/(-1242).\nAnswer: 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 92103 + 136?\nAnswer: 92239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(4 - (-1 + 4)) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -840 + 842. Let p be (i + (-2)\/1)\/(-5 + 4). Solve 0 = 3*l - 4*l + 2*o - 6, -l - 3*o + 14 = p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pg when two letters picked without replacement from ppjppjqqppppppag?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6438 = 79*m + 273*m - 178*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 310aa751 - 0?\nAnswer: 310aa751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/6 + -3*(-10)\/540. Which is the smallest value?  (a) 11  (b) -0.5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1309856813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25593, -2\/21, -167 in increasing order.\nAnswer: -167, -2\/21, 25593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -75, -154, -235, -318, -403, -490, -579?\n\"Answer: -c**2 - 76*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + 36 - (9 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - 2*l - 5*i - 19, -5*l = -2*i - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -173.542311 + -0.013689. Let g = o - -527.407. Let j = g + -354. What is j rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y + 110 = 2*o, 34*o - 13*o + 115 = 10*o - 4*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -13*r + 1. Let z be t(-1). Let q = -9 + z. Solve -21 = -4*w - q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 13*k**2 - 12*k + 7. Let n be r(12). Suppose -4*u - b = -n, -6*u = -u + 3*b - 7. Which is greater: 7 or u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 3)*(-6*j - j + 0*j) + 7*j - 35*j - j to the form y + d*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 43. Let l = n - -25.78. Let h = l + 0.413. Round h to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 5)*(-70*y + 15*y**2 + 70*y) - 15*y + 7*y + 7*y + 2*y**2.\nAnswer: -103*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 4*k**4 + 77323216*k**3 - 77323220*k**2 = 0.\nAnswer: -19330805, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2613, 20975, 70837, 167955, 328085, 566983, 900405?\n\"Answer: 2626*c**3 - 6*c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -93262 - 316530875\nAnswer: -316624137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26132961 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14 - (3 - -1)) + (34 - 28).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3800381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(10))\/(sqrt(10)\/sqrt(2)*-1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 9*d + 1. Let g be w(8). Let z be (12\/g - 0)*3. Solve z*i + 18 - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*p**2 + 610*p - 1244*p + 598*p to k + r*p + l*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -k + 3. Let g(u) = u**2 - 2*u - 1. Let m be g(k). Factor -19 + 0*s**m - s**2 + 3 + 8*s.\nAnswer: -(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of l**5 - 59*l - 12*l**4 - 9*l**4 - 15*l + 0*l**5 wrt l.\nAnswer: 20*l**3 - 252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105643 is divided by 380.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-4*(sqrt(99) + -2*sqrt(99)))\/((sqrt(225) - -2*(sqrt(225) + 3*sqrt(225)) - sqrt(225)) + sqrt(225)).\nAnswer: 8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -1\/20*s**5 - 2\/3*s**3 + 0 + 0*s**2 + 0*s**4 - 2*s. Find the second derivative of a(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 3*a. Suppose 5*d + 5 = -a*d. Let z = -9770\/13 - -751. Which is greater: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 2*w**4\/17 - 22*w**3\/17 - 18*w**2\/17 + 198*w\/17 = 0?\nAnswer: -3, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -5, 0.2, 40, -699 in increasing order.\nAnswer: -699, -39, -5, 0.2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xpoppcm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -81158, -81148, -81138, -81128, -81118, -81108?\n\"Answer: 10*t - 81168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1236 and 582.\nAnswer: 119892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*a**3 + 2199*a**2 + 3*a - 4094.\nAnswer: 72*a + 4398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 788073360 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**3\/4 - 107369*q**2\/2 - 214741*q\/4 + 214739\/2 = 0. What is q?\nAnswer: -2, 1, 214739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2 - (-25)\/(-10))\/((-2)\/756)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 538.433 nanometers?\nAnswer: 0.000538433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/14)\/((-25)\/(-10))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j + 27*j - 384 = 0. Suppose j*l - 36*l + 204 = 0. Calculate the greatest common factor of 68 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 3*n = -37, 2*k + 9*n - 388 = -303. Let 18\/5 + 23\/5*z**k - 39\/5*z - 1\/5*z**3 - 1\/5*z**4 = 0. Calculate z.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 711 divided by -237?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -172868*664.\nAnswer: -114784352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 555 + 65. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 716 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*c - c - 2*c)*(-1 + 3 - 5)*(-2 + 3 + 2)*(2*c + 0*c - c) to r*c + l*c**2 + j and give l.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x = 45*x + 48*x + 1386 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 662, 2615, 5884, 10481, 16418, 23707?\nAnswer: 32360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*((z + 4 - 4)*(-1 + 2*z + 1) - 3*z**2 - 2*z**2 - z**2).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 53222880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 5*c - 137, 76 - 210 = -2*d - 2*c. What is the highest common factor of d and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 + 6*q + 115. Let f be n(14). Solve -4*h = -5*a - f, -a - 5*h + 0 = -11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b**2 - 3*b**2 + 4*b - 1432*b**3 + 1435*b**3.\nAnswer: 3*b**3 - 8*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (6 - (4 + -3 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -1 + -5*(5 + -2*sqrt(891)*-2)*4)*5)**2.\nAnswer: 3672000*sqrt(11) + 142820100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of -41*x**7\/1680 - 283*x**6\/720 - 29*x**5\/6 - 4*x**2 - 5*x. Let n(t) be the third derivative of b(t). Differentiate n(u) wrt u.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 - 4*z**2 - 4*z - 4. Suppose 0 = 4*j - 4, -3*v + 33 + 4 = -2*j. Suppose -8 = -2*x, x = a + 2*a + v. What is d(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 10:38 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46 and 99274854.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0.2  (b) -0.02  (c) -5  (d) -16.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2. Let m(b) = -6*b + 5*b - 4*b. What is m(n(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1269063, 2538117, 3807167, 5076213, 6345255?\n\"Answer: -2*k**2 + 1269060*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -19673, -39335, -58997, -78659, -98321?\n\"Answer: -19662*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*16\/(-72)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.06455*0.22\nAnswer: 0.014201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -292231\/64 + 4567. Find the common denominator of -95\/18 and x.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 7 - 18 = 0. Let j(z) = 3 + 4 + 3*z - 4*z + 0. List the prime factors of j(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25849*x**2 + 16304*x?\nAnswer: -51698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 733.2302kg in nanograms?\nAnswer: 733230200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 4*m - 1. Calculate y(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + -5*12\/120.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 3*b + 25. What is the nearest to 0.1 in b, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 6*k**2 + 6*k + 2. Let m be v(-5). Which is the biggest value?  (a) m  (b) 4\/7  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6002512 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d = 31*d + 254 - 4334. Calculate the greatest common factor of 1088 and d.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + 8456c?\nAnswer: 84572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (21\/(-2))\/((-6)\/(-16)). Let t = -25 - z. Let v(l) = -9 - 2 + 10 + 9 - t*l. What is v(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 5, m: 2, y: 2, n: 2, x: 2, w: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4540, 18460, 41656, 74128, 115876, 166900?\nAnswer: 227200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a**3 - 5*a**2 - 208*a + 878. Let q be v(4). Which is bigger: q or -2112\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -345*n + 262*n = 68*n + 617*n + 16128 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 57 = 5*y. Let j = -143 + 247. Calculate the highest common factor of y and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6965 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*24\/(-160) + (-34)\/10. What is the nearest to j in -5, 7\/4, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**3 + 236 - 236.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119885 = 28*b - 154459. Is b a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27812 or -27826?\nAnswer: -27812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4*c + 17. Let j be s(-7). Let d = -8 - j. Sort -2, 1, d in decreasing order.\nAnswer: d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**3 + c**2 + c - 1. Let v be f(1). Suppose 3*y + 10*y = 104. Suppose -y = -v*z + 6. Solve -5*a = -3*q + 14, 2*q - z = 4*a + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -76.248 + 81.5. Let g = m - 0.252. Sort 0.1, g, -8 in decreasing order.\nAnswer: g, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10463376 + 10463380.499943. Let g = 20.5 - 16. Let h = b - g. Round h to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2 + 113*m + 332. Determine v(59).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1117924 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52, -65, -82, -103, -128, -157?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16421.\nAnswer: 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12330753553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**3 + 8*v - 7. Let y be q(1). Which is the third biggest value?  (a) 18  (b) y  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96594983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -25*j*r**3 - 3*j + 4*r**3 + 45 wrt j.\nAnswer: -25*r**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(35\/(-40)))\/2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 276 divide 1064876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-9 - 11 + 9)*(5*x - 4*x + 0*x) - 4*x + 0*x + 2*x + 0 + 2*x + 0)*(3 + 4 + 1)*(2*x**2 + 0 + 0) to the form t*x**3 + c*x**2 + j + v*x and give t.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-11837)\/152)\/(-89))\/(5\/160)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t - 42 - 71 = -1 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 4*u - 287, -5*p + 56 = 71. Solve u = h + 72 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = a + 3, -15*a + 19*a = -3*q - 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60 - (1 - (12 - 4))) + (-6 - -12 - -1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5136 - 5107. Is g greater than 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of -5\/2*a**2 + 6*a + 1\/4*a**4 + a**3 + 0. Is z(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 2*a - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-64))\/((-9)\/(-546))*10\/(-35)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 410651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -436 = 4*d - 452 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 542541*r**2 + 21324*r + 4.\nAnswer: 1085082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = 5*l + f, -5*l + 205044 = -f + 204988 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 232 or 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -256 + 103. Let u = k - -216. Suppose -2*a + 0*a = 5*h - 55, 5*h - 4*a - 85 = 0. What is the remainder when u is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 - (7 + -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(65\/(-10))*27*11\/198?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 9*a**2. Let v(b) = 22*b**2. Let f(d) = 5*v(d) - 12*w(d). Let r(s) = -4*s + s - 2*s + 3*s. What is f(r(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**3 - 6*f**2 - 12. Let g(q) = -5*q**3 - 13*q**2 - 23. Let s(c) = 6*g(c) - 13*p(c). Find the first derivative of s(w) wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.6 + 3.5. Let s = -1.7 + 2. Which is the closest to g?  (a) s  (b) -0.4  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.46, 0, -2\/3, -10, -3, -5 in decreasing order.\nAnswer: 0.46, 0, -2\/3, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/42 and 101\/224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 190641, 190643, 190645, 190647, 190649?\n\"Answer: 2*m + 190639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -19*q**2 - 2*q. Give c(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 - -19. Suppose -o*k + 8*k = 25, 5*h + k = 5. Is -7 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/48*0\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 122960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1845a2 (base 12) in base 3?\nAnswer: -210110112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17416 less than 33305.5?\nAnswer: 15889.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -aa (base 13) to base 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 383298856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*m - 4 + 11 + 90*m + m**2 + 4 as l*m + u + v*m**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ylll when four letters picked without replacement from lrldyyl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/173)\/(1\/(-6)). Does 1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (748\/240 + -4)*3. Let m = -12\/5 - j. What is the nearest to 1 in 0.5, -19, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 32, -5, -19.9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15538380 and -77?\nAnswer: 1196455260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1859413 and 35657.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -25, -917, -3551, -8797, -17525, -30605, -48907, -73301?\n\"Answer: -145*f**3 - f**2 + 126*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 4 - (-5 + (-11 - 21) - (0 + -31)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(684))**2 + 0.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of -w**4\/8 - 5*w**3\/6 - 3*w**2. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**5 + 32136*r**4 - 195192*r**3 - 24279264*r**2 + 312536880*r = 0. What is r?\nAnswer: -10718, -30, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4.7  (b) -2  (c) 3\/5  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + 2*a**2 + a. Let k be l(-1). Suppose 2*f - 2 = k. Sort -0.5, 2\/15, f in ascending order.\nAnswer: -0.5, 2\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -4*g + 15. Find u such that -30*u**g - 18*u**5 - 2*u - 36*u**4 + 20*u**4 - 4*u**2 + 50*u**5 + 20*u**2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -i**6\/120 - 2*i**5\/15 - 11*i**4\/24 - 5*i**3\/2 + i**2 - 4. What is the remainder when -1 + (1\/1 - -23) is divided by m(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11284 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/40 and -81\/24146.\nAnswer: 482920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -c + 4*v + 30, -v - 3 = c. What is the second derivative of 3*g + 5*g**2 - 3*g**2 + g**4 - 2*g**c wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 210, 7\/27.\nAnswer: 7\/27, 8, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 111 and 310767.\nAnswer: 11498379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g + 842. Let c be y(-69). Calculate the highest common factor of 105 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224*i**2 + 214*i**2 - 298*i**2 - 255*i**2.\nAnswer: -563*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.660749 plus -57.97?\nAnswer: -58.630749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {c: 10, v: 4, b: 2, h: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wfjw when four letters picked without replacement from {j: 1, o: 2, t: 1, w: 2, q: 1, f: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3009587337 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 98*m - 104*m + 84. What is the highest common divisor of 112 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 + -5)\/(9\/6)*12\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/2627 - -34013\/181263. Calculate the common denominator of -121\/24 and h.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, 1\/2, 0.024 in decreasing order.\nAnswer: 1\/2, 1\/6, 0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from hihbiiiehb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8902 = 508*p + 6846 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g. Let j(t) = -12*t + 1. What is j(b(l))?\nAnswer: 24*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 4*v + 6 + 2, -4 = -2*d - 2*v. Suppose 0*x - 2*x + d*o + 6 = 0, 0 = 4*x - 5*o - 12. Suppose x*h = 5*h - 22. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of m**5\/4 - 15*m**4\/4 - 35*m**3\/2 - 55*m**2\/2 - 478*m. Find p such that t(p) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + a**2 + 9*a - 6. Let q be v(4). Let x = 18 + q. Solve x = -4*p - h - h + 16, 3*h = 4*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2394?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 3816\/20315?\nAnswer: 3816\/20315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113 + 103?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 98\/9 + -668\/63. Suppose 2*x - 6 = -x. Let -2\/7*q**x + v*q - 2\/7*q**3 + 2\/7 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 319280 a multiple of 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 190.9841 + -191. What is m rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -564 - 64*x + x**3 + 86*x - 23*x to the form j + a*x**2 + t*x + o*x**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 494837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/6 - ((-192)\/18 - -7). Suppose r + 5 = -3*r - u, 3*r - x = u. Solve r = 4*y - 8, 5*y = 2*g + 4*y + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of 7*f**5\/30 - 19825*f**2. Let j = 4 + -1. Let b(o) = -j*o + 2*o + 3*o. What is i(b(s))?\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z**2 + 10*z**2 + 8*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66985496*w**2 - 3587687*w + 3 wrt w.\nAnswer: 133970992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1037959787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21003552 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10 + (-14)\/(-7 + 9). Solve 0 = -5*m + 10, 5*m - 13 = q*d - 0*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 0*p + 2*p)*((-1 + 4 - 4)*(3*p - 2*p - 3*p) - 2*p - p + 2*p + 0*p - p - 2*p - 13 + 4*p + 13).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2. Let y(h) = 7*h. Let d(v) = -3*v. Let k(c) = 13*d(c) + 6*y(c). Give k(i(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -0.5, -8\/5, 0.1, 28 in decreasing order.\nAnswer: 28, 0.1, 0, -0.5, -8\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -10, -40, -104, -220, -406, -680, -1060, -1564?\n\"Answer: -3*x**3 + x**2 - 12*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1791 + 396 = -27*p. Let l = p + 86. Solve 0 = l*y - 2*s - 3 + 17, 2*y = -s - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**4 + 6*t**3 - 12*t**2 - 6*t + 9.\nAnswer: 3*(t - 1)**2*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**2 + d - 13*d**2 - 2*d + 4*d**2.\nAnswer: -5*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46719 and 929547.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87, -122, -173, -246, -347, -482, -657?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/9 and -131\/157266.\nAnswer: 157266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 24455 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -121\/2?  (a) -1  (b) -48  (c) 10  (d) -1\/7  (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -4 - (-1 + 0) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m - 7*m = -19*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 429 and 1521?\nAnswer: 16731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 + -4 + -22 + 80 + -35.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8.47 + 3.61. Let j = m + -0.14. Put j, 2, -0.3 in ascending order.\nAnswer: j, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/99 and -20\/159.\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2241004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 4) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340006976.\nAnswer: 2, 19, 23, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(2\/3))\/n)**25 assuming n is positive.\nAnswer: n**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -187292.4 to the nearest 100.\nAnswer: -187300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from maomacjamcc. Give prob of picking 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.5 - -5. Let f = p - 1.5. Which is the smallest value?  (a) -3  (b) 1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from qurrtittttqrtu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 333036417941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**(-1\/3)*u*u))**33\/(u**(6\/5)*u*u\/(u*u*u**17)) assuming u is positive.\nAnswer: u**(-306\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 (base 16) in base 11?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/6)\/((-3)\/1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -17, 2\/9, 0.15, 3\/4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 - 7*a + 8. Let k be p(6). Let h(v) = 88*v. Let f be h(k). Let b = f + -85. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/36)\/((-10)\/(-240)). Is -118\/13 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1887708 divided by -40164.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 5*q = 2*w, 20 = -5*q. Let b be 2\/(-3 - w)*1. Suppose 2*g + b = 2*j - 35, 63 = 4*j + 5*g. Solve 5*h + 2*k - j = -k, 2*h + 3*k - 5 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3 + 77\/35)\/((-2)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8670 - 4337 - 4333 + 8*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10857 + 10922. Which is the third biggest value?  (a) -1\/10  (b) 0.3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**2 - 5*t**2 + 4*t**2 + (-1 - 3 + 5)*(2*t**2 + t - t) + 0*t**2 - 2*t**2 + 4*t**2 + (t + t - 4*t)*(0*t - 2*t + 4*t) - 18*t**2 + 7*t**2 - 14*t**2.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27021633 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78269 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/3 - (3474\/(-6) + 0). Let h = -502 + u. What is the greatest common factor of h and 1200?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.8, -0.2, 49, 0.9, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101001001101110 (base 2) to base 12.\nAnswer: -27212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**2 + v**2 - 2*v**2 + (-3*v + v + 4*v)*(-2*v - 2*v + 2*v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 - -23. Which is the closest to 10?  (a) 0.5  (b) u  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times -894\nAnswer: -26.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2192855, -4385789, -6578735, -8771699, -10964687?\n\"Answer: -g**3 - 2192927*g + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6)*-1*-4)\/(sqrt(432)\/sqrt(4) + sqrt(3))*-3)**2.\nAnswer: 288\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 441, -3\/13, -0.08 in decreasing order.\nAnswer: 441, -0.08, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 169 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 609 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -315*n**2 - 509*n - 786. Find the first derivative of l(z) wrt z.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u**3 - 225*u - 5550*u**2 + 13*u**3 + 222*u + 3*u**3.\nAnswer: 6*u**3 - 5550*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -7*v**2 + 7*v + 13. Let z(y) = 4*y**2 - 4*y - 7. Let g(j) = 3*x(j) + 5*z(j). Determine g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*m**4 - 33*m**3 + 5*m**5 + 9*m**5 - 11*m**5 + 30*m - 27*m**2 + 18*m**2 + 0*m**4 = 0 for m.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 298b5bc (base 13) to base 5\nAnswer: 11342431120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 2310357 and 2310353 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(50\/40) - 137. Let l = -87 - q. Calculate the highest common divisor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 0 + 3 - 2 - u. Let w(v) = 4*v - 4. Let z = -21 + 24. What is z*w(x) + 14*r(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t**2 - 10*t + 6. Give i(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5020 - 2574 = 374*t - 4286 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1471*s = 1468*s - 33 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 greater than or equal to 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-4 - (-45)\/10). Suppose -y*r - 3*p - 8 = -3*r, -2*r + p = -12. Suppose 0*l = l - 5, r*v - 5*l - 55 = 0. Solve -2*g - 3*g = v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51003 is divided by 1562?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttctttvxttctcxccccc. Give prob of picking 1 c and 2 t.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-690782)\/(-322) - (-4)\/(-14). Let s = u + -1254. Is 91 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 180*y**2 - 73*y - 338. What is the thousands digit of i(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8895 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a - 2*a**2 - 3*a**3 + 3*a**2 + 0*a**2 + 0*a to k*a**2 + w*a**3 + j + h*a and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -0.2  (b) -4  (c) -14  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) 2  (b) -1\/4  (c) 2\/135  (d) 1\/37  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**7*a)\/(a\/((a**(1\/21)\/a)\/a))*((a**3\/a)\/a)**(-48) assuming a is positive.\nAnswer: a**(-881\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 6:57 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in 3\/2, 0.2, 1, 15886, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1))\/f*f**5*f)\/(f**4*f**(-13)) assuming f is positive.\nAnswer: f**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 + 2)*(4*r**4 + 9677 - 2*r**4 - 7454) to the form j*r**3 + u + h*r + a*r**2 + i*r**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = t + 18. Let o = t - -240. Is -1*o\/2*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**5 + 0*r**5 - r**5 + (0*r + 4*r - r)*(-3 + 3*r**4 + 3).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/76560 and -37\/200.\nAnswer: 382800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -1151 and -1151 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 10. Let w be (-1*(-2)\/(-2))\/r. Which is the third biggest value?  (a) 2\/3  (b) w  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 13. Let q = d + -5.88. Let r = 0.02 - q. What is r rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -2*n - 4*n. Let v(m) = 6*m - 39. Let b be v(n). Are b and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -6. Suppose 0*x = -3*x + 9. Let t(i) = 1 + i**3 - 3*i - x - 2. Let n(a) = -a**3 + 4*a + 5. What is u*n(y) - 4*t(y)?\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.9 and -962610153.71.\nAnswer: -962610152.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b - 1. Let c(h) = -h**2 - 30*h + 3. Determine -c(g) - 3*x(g).\nAnswer: g**2 + 27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of 33*o**6\/20 + 2*o**5\/15 - 7*o**3\/3 - 2*o**2 - 2. Find the third derivative of y(d) wrt d.\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -116 - -118. Which is the smallest value?  (a) 1  (b) 2\/7  (c) x  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -1. Let r(j) = -7*j - 4. Let l = 14 - 15. Let w(p) = l*r(p) - 3*o(p). Differentiate w(a) with respect to a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7490 rounded to the nearest 100?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 37 + 58)*(-3 + b + 3) as m + d*b and give d.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/60*50*5\/((-330)\/(-9))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81109965.\nAnswer: 3, 5, 5407331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 5*z**3 - 2*z**2 - z + 1. What is the tens digit of g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-2) + (1 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 29975.\nAnswer: -59950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 622 - 8689\/14. Let u be ((-6711)\/(-297)*1)\/((-8)\/516). Let k = u + 1458. Calculate the common denominator of k and h.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29379*a**4*i + 892*a**3*i + 3*a**2*i + 5*a**2 + 2*a*i - 829*a + 106*i + 2 wrt a.\nAnswer: 705096*a*i + 5352*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 - -23. What is the greatest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -44.45 + 46.45. What is the fifth smallest value in -0.8, 3\/2, 0, 2\/21, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9514*d - 9510*d + 4*o + 84 = 0, 0 = 3*d - 5*o - 81 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -3, 2\/41, -4, 1\/5, 3\/7, 27 in increasing order.\nAnswer: -9, -4, -3, 2\/41, 1\/5, 3\/7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 23 = 4*o, -3*x = 5*o - 4*x - 13. Suppose -o*g = 4, v - 2*g + 3*g + 19 = 0. Let n = v - -20. Solve 4 = 2*s + 2*k, 2*s + n*s - k = 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w = -4*w + 24, 3*v + 0*w = -7*w - 0*w + 33 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in 2, -123, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11898556?\nAnswer: 2, 2974639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 511508 in -1\/3, -0.5, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 958 is divided by 141.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 193\/8 + -24. What is the second biggest value in -5, -1\/4, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -1\/3*v**3 + 0*v**2 + 0*v + 6. Let t(c) = -c + 1. Let r(f) = 3*f**2 + f - 1. Let k(o) = r(o) + t(o). What is m(k(p))?\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 86197889 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**6*w*w**(2\/17)*w)**50*(w\/w**(-1)*w*w\/(w\/(w\/(w*(w*w\/(w\/((w*w**(-1)*w)\/w)))\/w)))*w)\/((w\/w**0)\/(w**8\/w)) assuming w is positive.\nAnswer: w**(7070\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2\/5, -16, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -113, -226, -339, -452?\n\"Answer: -113*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010010010110010101 - -101?\nAnswer: 10010010010110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -8. Suppose 4*c = 3*g + 5 + 2, -3*c + 5*g + 8 = 0. Let o = c + -3. What is the closest to o in -5, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 3. Let -4\/9*w**c - 2\/3*w**2 - 2\/9*w + 0 = 0. What is w?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -6*u**2 - 6*u - 5. Let v(s) = 5*s**2 + 5*s + 5. What is -3*r(h) - 4*v(h)?\nAnswer: -2*h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {v: 1, n: 7, g: 2, w: 1, o: 1, j: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-5))**(-1\/15)*w**(-9)*w*w*w*w**(-2\/7)*w*w assuming w is positive.\nAnswer: w**(-83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -125, 2, 1, -2, 5 in ascending order.\nAnswer: -125, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6  (b) 3\/2  (c) 0.2  (d) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 213*t + 211. Calculate the least common multiple of 4 and r(5).\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -284?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w**2 - 2*w + 2. Let c(o) = 4*o**2 - o + 2. Determine 7*c(b) - 6*r(b).\nAnswer: -2*b**2 + 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25\/11?  (a) -2  (b) 0.02  (c) -1  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - m + 14. Let o be g(10). Let r = o + 67. Let i = -12 - r. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 55\/(-65) + 0 + (0 - -1). Let x = 22019\/41 + -537. What is the second biggest value in h, x, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c + 3. Let t be d(-3). Let f = 3 - t. Let h(z) = -z - 3. What is the remainder when h(-8) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 6*c - 4*c = 10, 0 = -4*c. Let u be -4 + ((-20)\/q - -8). Solve 2*o + 10 = u, 3*s + 0*s + 40 = -5*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60446248591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/32*2\/3. Let x = -0.20596 + 0.00596. Which is the nearest to 2\/3?  (a) x  (b) d  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 770, -6694 in descending order.\nAnswer: 770, 3, -6694","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: -1321644 (base 8) to base 5\nAnswer: -43311242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of b**5\/45 + 4*b**4\/3 + 286*b**3\/9 - 13*b**2 - 8*b - 1. Factor v(m).\nAnswer: 4*(m + 11)*(m + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a - 4*a + 5*a - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, w: 3, j: 2, o: 3, y: 4}. Give prob of sequence yyll.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0387322 + 0.4061648. Let j = u + -205.543897. Let m = j + 205. What is m rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5437135 by 3.\nAnswer: 5437135\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1268 + 50723\/40. Let q be -1 - ((-179)\/280 - 0). Let s = q + v. What is the second biggest value in -4, -2\/13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 1 - (0 + 0 + (170 - 166))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + d = 5*h - 114, -4*h = -5*d - 93. Let b(s) = s + 8. Let k be b(-6). Calculate the greatest common factor of h and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiniiiinii. Give prob of sequence ii.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 4  (c) 1232  (d) 0.04  (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -35, -76, -155, -284?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 940 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 112 = 16*b - 14*b, 2*r = -3*b - 66. Let k be (-8)\/32 + (-153)\/r. Factor -1\/4*g**k + 0*g - 1\/4*g**3 + 1\/4*g**5 + 1\/4*g**2 + 0.\nAnswer: g**2*(g - 1)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/5)*(z**(-1\/5)\/z)\/z*(z\/(z*z**1))**15)**(-38) assuming z is positive.\nAnswer: z**646","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = k - 4*l, 4*k + k = 5*l - 22907 + 22912 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 49598.6247 plus -9.519?\nAnswer: 49589.1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 376557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28 in -9, -3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mippppddpdpmkiid. What is prob of sequence immd?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**3*q**3 - 1504*d**3*q + 13*d**3 + 2*d**2*q**3 - 71*d**2 - 6*d*q**3 - d*q**2 wrt d.\nAnswer: -6*q**3 - 9024*q + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of 25*l**2\/2 - 9*l - 8. Let y be ((-57)\/(-6) + -1)*-6. Let c(x) = -3*x + 1. Let t(z) = y*c(z) - 6*o(z). Give t(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 14 = -k, -167*n + 171*n = 11 + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + 2*d - 7*d)*(0*d + 0*d - d + 4 - 4 + d + (-3 + 2 + 3)*(2*d - d - 2*d) - 3*d + d + 3*d - 3 + 3 - 2*d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 8*z**2 + 5*z - 4. Let q be w(-8). Let f be 3\/((q\/(-12))\/11). Which is bigger: 11 or f?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -341*s**2 + s - 7550. Let g(b) = -5*b**2. Determine h(g(z)).\nAnswer: -8525*z**4 - 5*z**2 - 7550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 3)**2 + sqrt(5) + 0.\nAnswer: 14 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-80)\/(-64) - 6\/(-8). Let c = -11 - -20. Let f = c + h. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17225 (base 10) in base 9?\nAnswer: -25558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -142 + 0?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*j + 26 + 109 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 563 less than -4706?\nAnswer: -5269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**4\/6 - 457*w**3\/9 - 4370*w**2 - 4332*w - 517. Let g(k) = 0. What is k?\nAnswer: -114, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -33, -68, -103, -138?\n\"Answer: -35*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1046643341 bigger than -1046643341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus 1793?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1)*(0*m + 8*m - 3*m + m - 3 + 3 + (2*m + m - m)*(-3 - 1 + 2))*(0*m**3 + m**3 + 2*m + 16 - 17).\nAnswer: 4*m**4 + 8*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-256 - 239 + 495 - 4814*z)*(2*z**2 + 3*z**2 - 4*z**2).\nAnswer: -4814*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*k**3 + 2576*k - 687\/2*k**2 + 67712 + 1\/2*k**4.\nAnswer: (k - 23)**2*(k + 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/3 - (8 + (-451)\/66).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 19112414, 38224822, 57337230?\n\"Answer: 19112408*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 23\/(-24))*(-186)\/310. Let s be 2\/(-6) - 13\/(-21). Is s <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 + 323 + 24 - (-1 + -1 + 4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -7*z - z**2 + 5*z**3 + 2 + 7*z**2 + z**3. Let q(g) = 5*g**3 + 5*g**2 - 6*g + 2. Give 7*q(s) - 6*t(s).\nAnswer: -s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*l - 3*w + 3, -12 = 3*w. Calculate the least common multiple of 21 and ((-6)\/l)\/(2\/15) + -3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*v - 13 = 0, 3*l + 4*v = -0*v. Suppose 0 = 5*c - c - 12. Suppose -2*n = c*j - 50 - 0, 5*j + l*n - 80 = 0. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20020 (base 3) to base 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.92386 to 2 decimal places.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17671 or -17668?\nAnswer: -17668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 222979667 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*q = -4*q + 96. Let c = 0 - q. Solve -2*i = -0*i - c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h + 7871*h**2 - 19937 - 19951 - 2*h + 39888.\nAnswer: 7871*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 53 = q, 2*q = y - 10 + 116. Suppose 0 = 12*l - q + 29. Sort -3, 25, l.\nAnswer: -3, l, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -225567631.21 rounded to the nearest 100000?\nAnswer: -225600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s. Let h(c) be the second derivative of 0*c**3 + 4*c + 0*c**2 + 0 + 1\/12*c**4. Determine a(h(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.6675 - 8?\nAnswer: 11.6675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 2*g - 96276. Let o = -35169 - g. What is o rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + -6760?\nAnswer: -6763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/7, 5, 171, -2\/15, 0.1, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 76*b - 597. Calculate f(2).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1189578 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pvvppvvvvvvpppvp. What is prob of sequence ppvv?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(11583\/36) + 4\/18.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 17 = -4*x, 15 = -4*d - 2*x - 25. Let q be 4*5*3\/4. Let t = q + d. What is the remainder when 17 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - s + 34 = 0. Let q = s + -17. Solve q = 4*y - 2 - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92566006.\nAnswer: 2, 13, 263, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 300 (base 5) to base 2.\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1412.02947 rounded to the nearest integer?\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 1, -2, 5 in decreasing order.\nAnswer: 28, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 11:12 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 191 = -2*t, 3*t = -5*r - 57 + 258. Suppose 2*l + 3*d = 3*l - r, -3*d + 105 = 5*l. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 5*v**2 - 3*v - 2. Let d be s(-2). Let i(j) = j**2 + 9*j + 8. Let k be i(d). Solve 0 = 3*o + 3*t + 3, -o - 2*t = -k - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 362384026 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -2435, -1 in descending order.\nAnswer: 3, -1, -4, -2435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 354 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-1)\/(-208)*27\/81). Suppose 0 = 13*c + 221 - i. Solve -39 + c = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -7. Let a = 3 + m. Let x = 8 + a. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -11, 2, -2, -25 in descending order.\nAnswer: 18, 2, -2, -11, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 5*m, -2*h = -9*m + 4*m. What is the closest to 1\/3 in h, -0.1, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 3 = 0, b = -4*b + 4*g + 234. What is the greatest common factor of b and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*n + n. Do 1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 5*p = -60, -32 = 4*a - p - 3*p. Let d = a + 14. Suppose -2*t + 156 = d*t. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 + 5*q**2 + q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3044\/25 + -6013\/50. Let f be 2\/(-45)*3\/(-4). Let m = f - -19\/30. Which is the biggest value?  (a) z  (b) m  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24 - 24.3. Which is the closest to -0.1?  (a) -5  (b) -2\/21  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157998.\nAnswer: 2, 3, 17, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -9. Let k(u) = 4*u + 1. Let j be k(g). Let a = j - -11. Solve a - 1 = p - 3*h, -2*p - 2 = -5*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*h + 15*i - 12*i - 11 - 9 = -27*h + 7*i, -2*i - 2 = -4*i for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 413 - 327. Calculate the remainder when 152 is divided by k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/10*10\/4. Let g be (y*2)\/((-5)\/(-140)). Suppose 5*r = -4*l + g, -l + 5*l - 24 = -r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 13\/(234\/(-4)) + (-400)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 152055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 22631.646 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -2. Suppose -g + 2*t = 3, 0 = -3*g + 3*t - 8 + r. Let d = 504 + -1009\/2. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -7\/860541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 483 = -305. Suppose x + 225 - 624 = 2*h, k = x + 3*h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**4 - 3*l**4 + 2*l**4 - 8 + 8 - 8*l**4 + 0*l**4 + 0*l**4 + 2*l**4 + (-2 - 2 + 5)*(2 + l**4 - 2) + 5*l**4 - l**4 - 2*l**4.\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 13 = -4*z - f, 4*z + 5*f + 33 = 0. Suppose 0 = -t + 3 - 0. Let h(a) = -a**3 + 6*a**2 - 7*a + 5. Let n be h(5). Put z, n, t in descending order.\nAnswer: t, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2329 and 588829?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*i**2 - 9*i**2 + 0*i**2 + (-3 + 3 - 2*i)*(-i - 2*i + 5*i) + 0*i**2 - i**2 + 3*i**2 + (-2 + 2 - i)*(6*i + 5*i - 2*i).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40 - -53. Let v = b - 7. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) + 1 + -5 - (sqrt(1100)*2*-4 - sqrt(1100)))**2*2 + 3.\nAnswer: -1600*sqrt(11) + 220035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/236101 and 3.\nAnswer: 236101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -117, -125, -139, -159, -185?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35609, -35625, -35651, -35687, -35733, -35789?\nAnswer: -35855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -4*x**2. Let g(l) be the third derivative of l**5\/4 - 76*l**2 - l. Determine g(a(m)).\nAnswer: 240*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-88)\/(-308)*(-3 - -4). Which is the nearest to -2\/5?  (a) 5  (b) -4\/7  (c) r  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence svs when three letters picked without replacement from {a: 4, v: 2, e: 1, q: 1, s: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 21 * -12\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 6 + 1 - 1 - 2 + 0 - 1 + 0 + (2 + 0 - 3)*(-2 + 3 - 15))*(0*p - 3*p + 4*p)*(-3 - 5 + 7 - 11*p) as j*p**2 + l + a*p and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -168466770 by -24565.\nAnswer: 6858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/(o*o**(-1)*o*o))*o)**(-1\/12))**(12\/5) assuming o is positive.\nAnswer: o**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 341*i - 6. Let w(d) = 140494*d - 2471. What is 2471*g(b) - 6*w(b)?\nAnswer: -353*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 8*i - 10. Find the second derivative of i*o**3 - 4*o - 780*o**4 + 145*o**5 + 780*o**4 - 5 - 5*o**3 wrt o.\nAnswer: 2900*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of 1 + 0*r - 1\/180*r**5 + 1\/36*r**4 - r**2 - 1\/18*r**3. Let l(t) be the second derivative of m(t). Solve l(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 0.6  (c) -1.6  (d) -0.1  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 5*u**2 + 2*u + 16. What are the prime factors of d(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6310.717 + -6134.8. Let u = 176 - p. Round u to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8241a + -727?\nAnswer: 817a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -158071 greater than -158072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -214\/27437?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1752 by 156.\nAnswer: 146\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 + 25 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, w: 8, q: 2, v: 2}. Give prob of sequence ee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 2*r + 12, -4*k = -7*r - 4 - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/3*6\/12)\/(110\/55)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1999709273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5685341, 5685352, 5685363, 5685374?\n\"Answer: 11*j + 5685330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 237, 408, 533, 612?\n\"Answer: -23*l**2 + 240*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 7:09 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 466 - -1116321?\nAnswer: 1116787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*x**3 - 6999*x**2 + 1998*x = 0. What is x?\nAnswer: 0, 2\/7, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -191.5762 to 0 dps.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 9 = s - 2*y, s + 7 = 2*y. Let b be 123\/18 + s\/6. Let k be (-52)\/182 + 9\/b. Do k and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c + 16. Let b be u(7). Suppose 2*n = -b*n + 68. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8*(1 + 3)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - -1. Suppose p*a + 115 = -3*a. Let l = a + 67. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k + 10. Let m be c(4). Find the third derivative of m*v - 3*v**2 + 961*v**3 - 942*v**3 + 8*v**2 + v wrt v.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-5 - -2)\/(12\/(-8)) + 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 + 3384608 - 3*t**2 + 3384608 - 5*t**3 - 6769216.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -49202 + 49202. Factor 9\/8*q**3 + f + 11\/8*q + 21\/8*q**2 - 1\/8*q**4.\nAnswer: -q*(q - 11)*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0403187 - 3.9596813. Let z = 77\/4 - 19. Which is the nearest to z?  (a) -1  (b) m  (c) 5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of i**4\/12 + i**3\/3 + 5*i + 5. Let y(o) be the first derivative of g(o). Suppose c = -w - 3*w - 3, -3*c + 13 = w. What is y(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-3))\/((-3)\/36). Suppose -5*r = -d + 9. Let u be (-10 + 7)\/(r*(-3)\/(-20)). What is the highest common divisor of u and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-3))\/((-2)\/3). Let m = -20 + 11. Let r(d) = d + 9. Let q be r(m). Solve -s = z - q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 45, -2\/21, 4\/7, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r. Let o(k) be the third derivative of -17*k**4\/4 - k**3\/3 - 663*k**2. Give o(i(p)).\nAnswer: 102*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -282.991072 and -3?\nAnswer: 279.991072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/39, -4, 18\/7, 1, 1\/5, -371 in descending order.\nAnswer: 18\/7, 1, 1\/5, 2\/39, -4, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -4*u + 5*n, 0*u - 2*n - 10 = 4*u. Let h(p) = p + 1. What is h(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22044 is divided by 344.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29893 is divided by 1107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -173 - -53. Let d = -70 - p. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 4*t - 304. Let j be q(0). Let l = j - -306. Solve -2*x = l*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 32\/130 - (-2)\/13. Let j(d) be the first derivative of c*d + 2\/15*d**3 + 2\/5*d**2 - 1. Solve j(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9231, -17583, -26057, -34647, -43347, -52151, -61053?\nAnswer: -70047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-330)\/792 + (-6)\/(-8). Let g = -0.11 - -4.11. Let r = g + -3. Which is greater: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, -5\/4, -1, 1\/3, -0.6, -387, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-680)\/(-120))\/(1\/(-3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -o**8\/840 - o**4\/12 - o**3\/6 + o. Let b(l) be the second derivative of s(l). Differentiate b(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -645 - -644.7. Let f be (0 + 1)\/(35\/10). Which is the closest to 1?  (a) f  (b) -0.2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.616 + 2.616. Which is the biggest value?  (a) 0.054  (b) h  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 694*s - 741*s = -6627. Calculate the remainder when 2816 is divided by s.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of 337*p**7\/42 - p**6\/15 - 20*p**4 + p**3\/6 - 2*p + 241. What is the third derivative of a(q) wrt q?\nAnswer: 20220*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4*j = -176. Let a be 10\/8 + 2175\/20. What is the greatest common divisor of j and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*z - 98 = 23*z - 41*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-62)\/(-56) - ((-6)\/(-14))\/((-8)\/(-16)). Let r = -1.97 + -0.03. Sort w, 24, r in descending order.\nAnswer: 24, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**0\/w)**(1\/18))**(-5\/7)*(((w*w**(1\/2)*w*w)\/w)\/(w\/(w**(-1\/6)\/w)))**42 assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101 + -10?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}